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Finding the Fourth Proportional to 52,153, 78,223.96 and 14,712.08

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Solution

The fourth proportional to 52,153, 78,223.96 and 14,712.08 is: 22,066.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,153 : 78,223.96 = 14,712.08 : x
  2. Step 2: Convert to fraction form
    52,153/78,223.96 = 14,712.08/x
  3. Step 3: Cross multiply
    52,153x = 78,223.96 × 14,712.08
  4. Step 4: Simplify right side
    52,153x = 1,150,837,157.44
  5. Step 5: Solve for x
    x = 1,150,837,157.44/52,153
  6. Step 6: Final answer
    x = 22,066.56

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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.