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Finding the Fourth Proportional to 83,117.34, 124,725.78 and 30,532.14

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Solution

The fourth proportional to 83,117.34, 124,725.78 and 30,532.14 is: 45,816.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,117.34 : 124,725.78 = 30,532.14 : x
  2. Step 2: Convert to fraction form
    83,117.34/124,725.78 = 30,532.14/x
  3. Step 3: Cross multiply
    83,117.34x = 124,725.78 × 30,532.14
  4. Step 4: Simplify right side
    83,117.34x = 3,808,144,976.57
  5. Step 5: Solve for x
    x = 3,808,144,976.57/83,117.34
  6. Step 6: Final answer
    x = 45,816.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.