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Finding the Fourth Proportional to 91,507.50, 137,257.14 and 24,947.58

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Solution

The fourth proportional to 91,507.50, 137,257.14 and 24,947.58 is: 37,420.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,507.50 : 137,257.14 = 24,947.58 : x
  2. Step 2: Convert to fraction form
    91,507.50/137,257.14 = 24,947.58/x
  3. Step 3: Cross multiply
    91,507.50x = 137,257.14 × 24,947.58
  4. Step 4: Simplify right side
    91,507.50x = 3,424,233,480.72
  5. Step 5: Solve for x
    x = 3,424,233,480.72/91,507.50
  6. Step 6: Final answer
    x = 37,420.25

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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.