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Finding the Fourth Proportional to 102,614.70, 153,907.65 and 32,501.10

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Solution

The fourth proportional to 102,614.70, 153,907.65 and 32,501.10 is: 48,747.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,614.70 : 153,907.65 = 32,501.10 : x
  2. Step 2: Convert to fraction form
    102,614.70/153,907.65 = 32,501.10/x
  3. Step 3: Cross multiply
    102,614.70x = 153,907.65 × 32,501.10
  4. Step 4: Simplify right side
    102,614.70x = 5,002,167,923.42
  5. Step 5: Solve for x
    x = 5,002,167,923.42/102,614.70
  6. Step 6: Final answer
    x = 48,747.09

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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.