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Finding the Fourth Proportional to 82,572.34, 113,952.52 and 46,761.58

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Solution

The fourth proportional to 82,572.34, 113,952.52 and 46,761.58 is: 64,532.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,572.34 : 113,952.52 = 46,761.58 : x
  2. Step 2: Convert to fraction form
    82,572.34/113,952.52 = 46,761.58/x
  3. Step 3: Cross multiply
    82,572.34x = 113,952.52 × 46,761.58
  4. Step 4: Simplify right side
    82,572.34x = 5,328,599,880.18
  5. Step 5: Solve for x
    x = 5,328,599,880.18/82,572.34
  6. Step 6: Final answer
    x = 64,532.50

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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.