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Finding the Fourth Proportional to 38,658.96, 57,981.60 and 17,594.10

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Solution

The fourth proportional to 38,658.96, 57,981.60 and 17,594.10 is: 26,388.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,658.96 : 57,981.60 = 17,594.10 : x
  2. Step 2: Convert to fraction form
    38,658.96/57,981.60 = 17,594.10/x
  3. Step 3: Cross multiply
    38,658.96x = 57,981.60 × 17,594.10
  4. Step 4: Simplify right side
    38,658.96x = 1,020,134,068.56
  5. Step 5: Solve for x
    x = 1,020,134,068.56/38,658.96
  6. Step 6: Final answer
    x = 26,388.04

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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.