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Finding the Fourth Proportional to 101,807.65, 152,674.89 and 35,229.70

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Solution

The fourth proportional to 101,807.65, 152,674.89 and 35,229.70 is: 52,831.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,807.65 : 152,674.89 = 35,229.70 : x
  2. Step 2: Convert to fraction form
    101,807.65/152,674.89 = 35,229.70/x
  3. Step 3: Cross multiply
    101,807.65x = 152,674.89 × 35,229.70
  4. Step 4: Simplify right side
    101,807.65x = 5,378,690,572.23
  5. Step 5: Solve for x
    x = 5,378,690,572.23/101,807.65
  6. Step 6: Final answer
    x = 52,831.89

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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.