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Finding the Fourth Proportional to 91,436, 137,102.16 and 38,066.40

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Solution

The fourth proportional to 91,436, 137,102.16 and 38,066.40 is: 57,078.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,436 : 137,102.16 = 38,066.40 : x
  2. Step 2: Convert to fraction form
    91,436/137,102.16 = 38,066.40/x
  3. Step 3: Cross multiply
    91,436x = 137,102.16 × 38,066.40
  4. Step 4: Simplify right side
    91,436x = 5,218,985,663.42
  5. Step 5: Solve for x
    x = 5,218,985,663.42/91,436
  6. Step 6: Final answer
    x = 57,078.02

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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.