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Finding the Fourth Proportional to 38,107.01, 52,576.29 and 24,656.96

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Solution

The fourth proportional to 38,107.01, 52,576.29 and 24,656.96 is: 34,019.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,107.01 : 52,576.29 = 24,656.96 : x
  2. Step 2: Convert to fraction form
    38,107.01/52,576.29 = 24,656.96/x
  3. Step 3: Cross multiply
    38,107.01x = 52,576.29 × 24,656.96
  4. Step 4: Simplify right side
    38,107.01x = 1,296,371,479.48
  5. Step 5: Solve for x
    x = 1,296,371,479.48/38,107.01
  6. Step 6: Final answer
    x = 34,019.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.