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Finding the Fourth Proportional to 102,575.30, 153,847.56 and 32,445.50

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Solution

The fourth proportional to 102,575.30, 153,847.56 and 32,445.50 is: 48,663.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,575.30 : 153,847.56 = 32,445.50 : x
  2. Step 2: Convert to fraction form
    102,575.30/153,847.56 = 32,445.50/x
  3. Step 3: Cross multiply
    102,575.30x = 153,847.56 × 32,445.50
  4. Step 4: Simplify right side
    102,575.30x = 4,991,661,007.98
  5. Step 5: Solve for x
    x = 4,991,661,007.98/102,575.30
  6. Step 6: Final answer
    x = 48,663.38

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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.