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Finding the Fourth Proportional to 77,309.16, 115,978.32 and 24,704.52

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Solution

The fourth proportional to 77,309.16, 115,978.32 and 24,704.52 is: 37,061.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,309.16 : 115,978.32 = 24,704.52 : x
  2. Step 2: Convert to fraction form
    77,309.16/115,978.32 = 24,704.52/x
  3. Step 3: Cross multiply
    77,309.16x = 115,978.32 × 24,704.52
  4. Step 4: Simplify right side
    77,309.16x = 2,865,188,726.01
  5. Step 5: Solve for x
    x = 2,865,188,726.01/77,309.16
  6. Step 6: Final answer
    x = 37,061.44

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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.