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Finding the Fourth Proportional to 91,442, 137,111.16 and 38,072.40

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Solution

The fourth proportional to 91,442, 137,111.16 and 38,072.40 is: 57,087.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,442 : 137,111.16 = 38,072.40 : x
  2. Step 2: Convert to fraction form
    91,442/137,111.16 = 38,072.40/x
  3. Step 3: Cross multiply
    91,442x = 137,111.16 × 38,072.40
  4. Step 4: Simplify right side
    91,442x = 5,220,150,927.98
  5. Step 5: Solve for x
    x = 5,220,150,927.98/91,442
  6. Step 6: Final answer
    x = 57,087.02

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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.