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Finding the Fourth Proportional to 77,335.77, 115,978.95 and 24,732.75

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Solution

The fourth proportional to 77,335.77, 115,978.95 and 24,732.75 is: 37,091.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,335.77 : 115,978.95 = 24,732.75 : x
  2. Step 2: Convert to fraction form
    77,335.77/115,978.95 = 24,732.75/x
  3. Step 3: Cross multiply
    77,335.77x = 115,978.95 × 24,732.75
  4. Step 4: Simplify right side
    77,335.77x = 2,868,478,375.61
  5. Step 5: Solve for x
    x = 2,868,478,375.61/77,335.77
  6. Step 6: Final answer
    x = 37,091.22

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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.