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Finding the Fourth Proportional to 107,714.52, 161,445.24 and 48,480.84

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Solution

The fourth proportional to 107,714.52, 161,445.24 and 48,480.84 is: 72,664.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,714.52 : 161,445.24 = 48,480.84 : x
  2. Step 2: Convert to fraction form
    107,714.52/161,445.24 = 48,480.84/x
  3. Step 3: Cross multiply
    107,714.52x = 161,445.24 × 48,480.84
  4. Step 4: Simplify right side
    107,714.52x = 7,827,000,849.20
  5. Step 5: Solve for x
    x = 7,827,000,849.20/107,714.52
  6. Step 6: Final answer
    x = 72,664.31

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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.