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Finding the Fourth Proportional to 97,714.76, 146,593.65 and 55,614.65

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Solution

The fourth proportional to 97,714.76, 146,593.65 and 55,614.65 is: 83,434.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,714.76 : 146,593.65 = 55,614.65 : x
  2. Step 2: Convert to fraction form
    97,714.76/146,593.65 = 55,614.65/x
  3. Step 3: Cross multiply
    97,714.76x = 146,593.65 × 55,614.65
  4. Step 4: Simplify right side
    97,714.76x = 8,152,754,524.32
  5. Step 5: Solve for x
    x = 8,152,754,524.32/97,714.76
  6. Step 6: Final answer
    x = 83,434.22

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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.