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Finding the Fourth Proportional to 77,024.80, 115,537.20 and 61,472.80

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Solution

The fourth proportional to 77,024.80, 115,537.20 and 61,472.80 is: 92,209.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,024.80 : 115,537.20 = 61,472.80 : x
  2. Step 2: Convert to fraction form
    77,024.80/115,537.20 = 61,472.80/x
  3. Step 3: Cross multiply
    77,024.80x = 115,537.20 × 61,472.80
  4. Step 4: Simplify right side
    77,024.80x = 7,102,395,188.16
  5. Step 5: Solve for x
    x = 7,102,395,188.16/77,024.80
  6. Step 6: Final answer
    x = 92,209.20

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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.