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Finding the Fourth Proportional to 101,781.72, 152,633.34 and 48,432.60

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Solution

The fourth proportional to 101,781.72, 152,633.34 and 48,432.60 is: 72,630.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,781.72 : 152,633.34 = 48,432.60 : x
  2. Step 2: Convert to fraction form
    101,781.72/152,633.34 = 48,432.60/x
  3. Step 3: Cross multiply
    101,781.72x = 152,633.34 × 48,432.60
  4. Step 4: Simplify right side
    101,781.72x = 7,392,429,502.88
  5. Step 5: Solve for x
    x = 7,392,429,502.88/101,781.72
  6. Step 6: Final answer
    x = 72,630.23

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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.