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Finding the Fourth Proportional to 41,130.52, 61,695.84 and 9,965.68

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Solution

The fourth proportional to 41,130.52, 61,695.84 and 9,965.68 is: 14,948.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,130.52 : 61,695.84 = 9,965.68 : x
  2. Step 2: Convert to fraction form
    41,130.52/61,695.84 = 9,965.68/x
  3. Step 3: Cross multiply
    41,130.52x = 61,695.84 × 9,965.68
  4. Step 4: Simplify right side
    41,130.52x = 614,840,998.77
  5. Step 5: Solve for x
    x = 614,840,998.77/41,130.52
  6. Step 6: Final answer
    x = 14,948.53

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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.