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Finding the Fourth Proportional to 42,151.64, 63,225.96 and 10,561.96

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Solution

The fourth proportional to 42,151.64, 63,225.96 and 10,561.96 is: 15,842.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,151.64 : 63,225.96 = 10,561.96 : x
  2. Step 2: Convert to fraction form
    42,151.64/63,225.96 = 10,561.96/x
  3. Step 3: Cross multiply
    42,151.64x = 63,225.96 × 10,561.96
  4. Step 4: Simplify right side
    42,151.64x = 667,789,744.35
  5. Step 5: Solve for x
    x = 667,789,744.35/42,151.64
  6. Step 6: Final answer
    x = 15,842.56

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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.