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Finding the Fourth Proportional to 82,854.72, 114,343.56 and 47,044.08

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Solution

The fourth proportional to 82,854.72, 114,343.56 and 47,044.08 is: 64,923.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,854.72 : 114,343.56 = 47,044.08 : x
  2. Step 2: Convert to fraction form
    82,854.72/114,343.56 = 47,044.08/x
  3. Step 3: Cross multiply
    82,854.72x = 114,343.56 × 47,044.08
  4. Step 4: Simplify right side
    82,854.72x = 5,379,187,584.12
  5. Step 5: Solve for x
    x = 5,379,187,584.12/82,854.72
  6. Step 6: Final answer
    x = 64,923.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.