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Finding the Fourth Proportional to 64,649.40, 96,971.08 and 22,539.12

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Solution

The fourth proportional to 64,649.40, 96,971.08 and 22,539.12 is: 33,807.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,649.40 : 96,971.08 = 22,539.12 : x
  2. Step 2: Convert to fraction form
    64,649.40/96,971.08 = 22,539.12/x
  3. Step 3: Cross multiply
    64,649.40x = 96,971.08 × 22,539.12
  4. Step 4: Simplify right side
    64,649.40x = 2,185,642,808.65
  5. Step 5: Solve for x
    x = 2,185,642,808.65/64,649.40
  6. Step 6: Final answer
    x = 33,807.63

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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.