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Finding the Fourth Proportional to 83,572.57, 115,328.28 and 47,269.21

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Solution

The fourth proportional to 83,572.57, 115,328.28 and 47,269.21 is: 65,230.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,572.57 : 115,328.28 = 47,269.21 : x
  2. Step 2: Convert to fraction form
    83,572.57/115,328.28 = 47,269.21/x
  3. Step 3: Cross multiply
    83,572.57x = 115,328.28 × 47,269.21
  4. Step 4: Simplify right side
    83,572.57x = 5,451,476,686.26
  5. Step 5: Solve for x
    x = 5,451,476,686.26/83,572.57
  6. Step 6: Final answer
    x = 65,230.45

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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.