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Finding the Fourth Proportional to 95,187.96, 142,784.24 and 32,008.91

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Solution

The fourth proportional to 95,187.96, 142,784.24 and 32,008.91 is: 48,014.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,187.96 : 142,784.24 = 32,008.91 : x
  2. Step 2: Convert to fraction form
    95,187.96/142,784.24 = 32,008.91/x
  3. Step 3: Cross multiply
    95,187.96x = 142,784.24 × 32,008.91
  4. Step 4: Simplify right side
    95,187.96x = 4,570,367,013.61
  5. Step 5: Solve for x
    x = 4,570,367,013.61/95,187.96
  6. Step 6: Final answer
    x = 48,014.13

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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.