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Finding the Fourth Proportional to 102,637.80, 153,978.30 and 32,524.20

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Solution

The fourth proportional to 102,637.80, 153,978.30 and 32,524.20 is: 48,793.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,637.80 : 153,978.30 = 32,524.20 : x
  2. Step 2: Convert to fraction form
    102,637.80/153,978.30 = 32,524.20/x
  3. Step 3: Cross multiply
    102,637.80x = 153,978.30 × 32,524.20
  4. Step 4: Simplify right side
    102,637.80x = 5,008,021,024.86
  5. Step 5: Solve for x
    x = 5,008,021,024.86/102,637.80
  6. Step 6: Final answer
    x = 48,793.14

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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.