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Finding the Fourth Proportional to 29,713.19, 44,575.92 and 9,991.24

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Solution

The fourth proportional to 29,713.19, 44,575.92 and 9,991.24 is: 14,988.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,713.19 : 44,575.92 = 9,991.24 : x
  2. Step 2: Convert to fraction form
    29,713.19/44,575.92 = 9,991.24/x
  3. Step 3: Cross multiply
    29,713.19x = 44,575.92 × 9,991.24
  4. Step 4: Simplify right side
    29,713.19x = 445,368,603.50
  5. Step 5: Solve for x
    x = 445,368,603.50/29,713.19
  6. Step 6: Final answer
    x = 14,988.92

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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.