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Finding the Fourth Proportional to 77,262.52, 115,945.72 and 27,342.40

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Solution

The fourth proportional to 77,262.52, 115,945.72 and 27,342.40 is: 41,031.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,262.52 : 115,945.72 = 27,342.40 : x
  2. Step 2: Convert to fraction form
    77,262.52/115,945.72 = 27,342.40/x
  3. Step 3: Cross multiply
    77,262.52x = 115,945.72 × 27,342.40
  4. Step 4: Simplify right side
    77,262.52x = 3,170,234,254.53
  5. Step 5: Solve for x
    x = 3,170,234,254.53/77,262.52
  6. Step 6: Final answer
    x = 41,031.98

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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.