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Finding the Fourth Proportional to 29,882.86, 44,824.28 and 9,886.98

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Solution

The fourth proportional to 29,882.86, 44,824.28 and 9,886.98 is: 14,830.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,882.86 : 44,824.28 = 9,886.98 : x
  2. Step 2: Convert to fraction form
    29,882.86/44,824.28 = 9,886.98/x
  3. Step 3: Cross multiply
    29,882.86x = 44,824.28 × 9,886.98
  4. Step 4: Simplify right side
    29,882.86x = 443,176,759.87
  5. Step 5: Solve for x
    x = 443,176,759.87/29,882.86
  6. Step 6: Final answer
    x = 14,830.47

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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.