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Finding the Fourth Proportional to 96,470.76, 144,697.80 and 29,909.40

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Solution

The fourth proportional to 96,470.76, 144,697.80 and 29,909.40 is: 44,861.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,470.76 : 144,697.80 = 29,909.40 : x
  2. Step 2: Convert to fraction form
    96,470.76/144,697.80 = 29,909.40/x
  3. Step 3: Cross multiply
    96,470.76x = 144,697.80 × 29,909.40
  4. Step 4: Simplify right side
    96,470.76x = 4,327,824,379.32
  5. Step 5: Solve for x
    x = 4,327,824,379.32/96,470.76
  6. Step 6: Final answer
    x = 44,861.51

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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.