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Finding the Fourth Proportional to 116,965, 175,465.73 and 38,060.61

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Solution

The fourth proportional to 116,965, 175,465.73 and 38,060.61 is: 57,096.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,965 : 175,465.73 = 38,060.61 : x
  2. Step 2: Convert to fraction form
    116,965/175,465.73 = 38,060.61/x
  3. Step 3: Cross multiply
    116,965x = 175,465.73 × 38,060.61
  4. Step 4: Simplify right side
    116,965x = 6,678,332,717.90
  5. Step 5: Solve for x
    x = 6,678,332,717.90/116,965
  6. Step 6: Final answer
    x = 57,096.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.