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Finding the Fourth Proportional to 41,128.78, 61,693.53 and 9,964.06

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Solution

The fourth proportional to 41,128.78, 61,693.53 and 9,964.06 is: 14,946.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,128.78 : 61,693.53 = 9,964.06 : x
  2. Step 2: Convert to fraction form
    41,128.78/61,693.53 = 9,964.06/x
  3. Step 3: Cross multiply
    41,128.78x = 61,693.53 × 9,964.06
  4. Step 4: Simplify right side
    41,128.78x = 614,718,034.53
  5. Step 5: Solve for x
    x = 614,718,034.53/41,128.78
  6. Step 6: Final answer
    x = 14,946.18

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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.