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Finding the Fourth Proportional to 77,292.96, 115,889.52 and 24,684.96

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Solution

The fourth proportional to 77,292.96, 115,889.52 and 24,684.96 is: 37,011.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,292.96 : 115,889.52 = 24,684.96 : x
  2. Step 2: Convert to fraction form
    77,292.96/115,889.52 = 24,684.96/x
  3. Step 3: Cross multiply
    77,292.96x = 115,889.52 × 24,684.96
  4. Step 4: Simplify right side
    77,292.96x = 2,860,728,165.62
  5. Step 5: Solve for x
    x = 2,860,728,165.62/77,292.96
  6. Step 6: Final answer
    x = 37,011.50

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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.