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Finding the Fourth Proportional to 41,130.56, 61,695.86 and 9,965.84

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Solution

The fourth proportional to 41,130.56, 61,695.86 and 9,965.84 is: 14,948.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,130.56 : 61,695.86 = 9,965.84 : x
  2. Step 2: Convert to fraction form
    41,130.56/61,695.86 = 9,965.84/x
  3. Step 3: Cross multiply
    41,130.56x = 61,695.86 × 9,965.84
  4. Step 4: Simplify right side
    41,130.56x = 614,851,069.42
  5. Step 5: Solve for x
    x = 614,851,069.42/41,130.56
  6. Step 6: Final answer
    x = 14,948.76

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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.