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Finding the Fourth Proportional to 21,976,070.40, 32,978,102.40 and 12,878,150.40

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Solution

The fourth proportional to 21,976,070.40, 32,978,102.40 and 12,878,150.40 is: 19,325,427.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,976,070.40 : 32,978,102.40 = 12,878,150.40 : x
  2. Step 2: Convert to fraction form
    21,976,070.40/32,978,102.40 = 12,878,150.40/x
  3. Step 3: Cross multiply
    21,976,070.40x = 32,978,102.40 × 12,878,150.40
  4. Step 4: Simplify right side
    21,976,070.40x = 424,696,962,613,800.94
  5. Step 5: Solve for x
    x = 424,696,962,613,800.94/21,976,070.40
  6. Step 6: Final answer
    x = 19,325,427.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.