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Finding the Fourth Proportional to 37,101.04, 55,658.04 and 16,324

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Solution

The fourth proportional to 37,101.04, 55,658.04 and 16,324 is: 24,488.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,101.04 : 55,658.04 = 16,324 : x
  2. Step 2: Convert to fraction form
    37,101.04/55,658.04 = 16,324/x
  3. Step 3: Cross multiply
    37,101.04x = 55,658.04 × 16,324
  4. Step 4: Simplify right side
    37,101.04x = 908,561,844.96
  5. Step 5: Solve for x
    x = 908,561,844.96/37,101.04
  6. Step 6: Final answer
    x = 24,488.85

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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.