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Finding the Fourth Proportional to 77,585.38, 107,108.73 and 52,225.09

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Solution

The fourth proportional to 77,585.38, 107,108.73 and 52,225.09 is: 72,098.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,585.38 : 107,108.73 = 52,225.09 : x
  2. Step 2: Convert to fraction form
    77,585.38/107,108.73 = 52,225.09/x
  3. Step 3: Cross multiply
    77,585.38x = 107,108.73 × 52,225.09
  4. Step 4: Simplify right side
    77,585.38x = 5,593,762,796.26
  5. Step 5: Solve for x
    x = 5,593,762,796.26/77,585.38
  6. Step 6: Final answer
    x = 72,098.16

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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.