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Finding the Fourth Proportional to 70,892.96, 106,316.40 and 24,144.80

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Solution

The fourth proportional to 70,892.96, 106,316.40 and 24,144.80 is: 36,209.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,892.96 : 106,316.40 = 24,144.80 : x
  2. Step 2: Convert to fraction form
    70,892.96/106,316.40 = 24,144.80/x
  3. Step 3: Cross multiply
    70,892.96x = 106,316.40 × 24,144.80
  4. Step 4: Simplify right side
    70,892.96x = 2,566,988,214.72
  5. Step 5: Solve for x
    x = 2,566,988,214.72/70,892.96
  6. Step 6: Final answer
    x = 36,209.35

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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.