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Finding the Fourth Proportional to 77,587.38, 107,111.50 and 52,227.08

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Solution

The fourth proportional to 77,587.38, 107,111.50 and 52,227.08 is: 72,100.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,587.38 : 107,111.50 = 52,227.08 : x
  2. Step 2: Convert to fraction form
    77,587.38/107,111.50 = 52,227.08/x
  3. Step 3: Cross multiply
    77,587.38x = 107,111.50 × 52,227.08
  4. Step 4: Simplify right side
    77,587.38x = 5,594,120,879.42
  5. Step 5: Solve for x
    x = 5,594,120,879.42/77,587.38
  6. Step 6: Final answer
    x = 72,100.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.