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Finding the Fourth Proportional to 55,777.24, 83,658.48 and 20,712.16

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Solution

The fourth proportional to 55,777.24, 83,658.48 and 20,712.16 is: 31,065.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,777.24 : 83,658.48 = 20,712.16 : x
  2. Step 2: Convert to fraction form
    55,777.24/83,658.48 = 20,712.16/x
  3. Step 3: Cross multiply
    55,777.24x = 83,658.48 × 20,712.16
  4. Step 4: Simplify right side
    55,777.24x = 1,732,747,823.12
  5. Step 5: Solve for x
    x = 1,732,747,823.12/55,777.24
  6. Step 6: Final answer
    x = 31,065.50

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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.