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Finding the Fourth Proportional to 83,237.50, 124,856.25 and 24,869.50

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Solution

The fourth proportional to 83,237.50, 124,856.25 and 24,869.50 is: 37,304.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,237.50 : 124,856.25 = 24,869.50 : x
  2. Step 2: Convert to fraction form
    83,237.50/124,856.25 = 24,869.50/x
  3. Step 3: Cross multiply
    83,237.50x = 124,856.25 × 24,869.50
  4. Step 4: Simplify right side
    83,237.50x = 3,105,112,509.38
  5. Step 5: Solve for x
    x = 3,105,112,509.38/83,237.50
  6. Step 6: Final answer
    x = 37,304.25

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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.