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Finding the Fourth Proportional to 83,044.47, 114,601.73 and 45,319.53

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Solution

The fourth proportional to 83,044.47, 114,601.73 and 45,319.53 is: 62,541.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,044.47 : 114,601.73 = 45,319.53 : x
  2. Step 2: Convert to fraction form
    83,044.47/114,601.73 = 45,319.53/x
  3. Step 3: Cross multiply
    83,044.47x = 114,601.73 × 45,319.53
  4. Step 4: Simplify right side
    83,044.47x = 5,193,696,314.19
  5. Step 5: Solve for x
    x = 5,193,696,314.19/83,044.47
  6. Step 6: Final answer
    x = 62,541.15

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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.