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Finding the Fourth Proportional to 83,689.74, 115,491.47 and 45,448.98

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Solution

The fourth proportional to 83,689.74, 115,491.47 and 45,448.98 is: 62,719.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,689.74 : 115,491.47 = 45,448.98 : x
  2. Step 2: Convert to fraction form
    83,689.74/115,491.47 = 45,448.98/x
  3. Step 3: Cross multiply
    83,689.74x = 115,491.47 × 45,448.98
  4. Step 4: Simplify right side
    83,689.74x = 5,248,969,755.15
  5. Step 5: Solve for x
    x = 5,248,969,755.15/83,689.74
  6. Step 6: Final answer
    x = 62,719.39

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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.