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Finding the Fourth Proportional to 29,902.56, 44,854.62 and 9,126

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Solution

The fourth proportional to 29,902.56, 44,854.62 and 9,126 is: 13,689.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,902.56 : 44,854.62 = 9,126 : x
  2. Step 2: Convert to fraction form
    29,902.56/44,854.62 = 9,126/x
  3. Step 3: Cross multiply
    29,902.56x = 44,854.62 × 9,126
  4. Step 4: Simplify right side
    29,902.56x = 409,343,262.12
  5. Step 5: Solve for x
    x = 409,343,262.12/29,902.56
  6. Step 6: Final answer
    x = 13,689.24

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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.