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Finding the Fourth Proportional to 77,165.30, 115,756.25 and 24,562.48

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Solution

The fourth proportional to 77,165.30, 115,756.25 and 24,562.48 is: 36,846.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,165.30 : 115,756.25 = 24,562.48 : x
  2. Step 2: Convert to fraction form
    77,165.30/115,756.25 = 24,562.48/x
  3. Step 3: Cross multiply
    77,165.30x = 115,756.25 × 24,562.48
  4. Step 4: Simplify right side
    77,165.30x = 2,843,260,575.50
  5. Step 5: Solve for x
    x = 2,843,260,575.50/77,165.30
  6. Step 6: Final answer
    x = 36,846.36

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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.