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Finding the Fourth Proportional to 70,892.15, 106,354.80 and 24,145.02

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Solution

The fourth proportional to 70,892.15, 106,354.80 and 24,145.02 is: 36,223.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,892.15 : 106,354.80 = 24,145.02 : x
  2. Step 2: Convert to fraction form
    70,892.15/106,354.80 = 24,145.02/x
  3. Step 3: Cross multiply
    70,892.15x = 106,354.80 × 24,145.02
  4. Step 4: Simplify right side
    70,892.15x = 2,567,938,773.10
  5. Step 5: Solve for x
    x = 2,567,938,773.10/70,892.15
  6. Step 6: Final answer
    x = 36,223.18

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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.