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Finding the Fourth Proportional to 116,884, 175,349.04 and 38,000.16

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Solution

The fourth proportional to 116,884, 175,349.04 and 38,000.16 is: 57,007.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,884 : 175,349.04 = 38,000.16 : x
  2. Step 2: Convert to fraction form
    116,884/175,349.04 = 38,000.16/x
  3. Step 3: Cross multiply
    116,884x = 175,349.04 × 38,000.16
  4. Step 4: Simplify right side
    116,884x = 6,663,291,575.85
  5. Step 5: Solve for x
    x = 6,663,291,575.85/116,884
  6. Step 6: Final answer
    x = 57,007.73

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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.