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Finding the Fourth Proportional to 83,238.50, 124,857.75 and 24,870.50

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Solution

The fourth proportional to 83,238.50, 124,857.75 and 24,870.50 is: 37,305.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,238.50 : 124,857.75 = 24,870.50 : x
  2. Step 2: Convert to fraction form
    83,238.50/124,857.75 = 24,870.50/x
  3. Step 3: Cross multiply
    83,238.50x = 124,857.75 × 24,870.50
  4. Step 4: Simplify right side
    83,238.50x = 3,105,274,671.38
  5. Step 5: Solve for x
    x = 3,105,274,671.38/83,238.50
  6. Step 6: Final answer
    x = 37,305.75

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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.