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Finding the Fourth Proportional to 24,499.88, 36,750 and 6,031.88

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Solution

The fourth proportional to 24,499.88, 36,750 and 6,031.88 is: 9,047.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,499.88 : 36,750 = 6,031.88 : x
  2. Step 2: Convert to fraction form
    24,499.88/36,750 = 6,031.88/x
  3. Step 3: Cross multiply
    24,499.88x = 36,750 × 6,031.88
  4. Step 4: Simplify right side
    24,499.88x = 221,671,406.25
  5. Step 5: Solve for x
    x = 221,671,406.25/24,499.88
  6. Step 6: Final answer
    x = 9,047.86

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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.