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Finding the Fourth Proportional to 47,587.86, 71,357.22 and 20,923.20

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Solution

The fourth proportional to 47,587.86, 71,357.22 and 20,923.20 is: 31,374.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,587.86 : 71,357.22 = 20,923.20 : x
  2. Step 2: Convert to fraction form
    47,587.86/71,357.22 = 20,923.20/x
  3. Step 3: Cross multiply
    47,587.86x = 71,357.22 × 20,923.20
  4. Step 4: Simplify right side
    47,587.86x = 1,493,021,385.50
  5. Step 5: Solve for x
    x = 1,493,021,385.50/47,587.86
  6. Step 6: Final answer
    x = 31,374.00

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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.