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Finding the Fourth Proportional to 32,695.44, 49,073.94 and 17,124

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Solution

The fourth proportional to 32,695.44, 49,073.94 and 17,124 is: 25,702.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,695.44 : 49,073.94 = 17,124 : x
  2. Step 2: Convert to fraction form
    32,695.44/49,073.94 = 17,124/x
  3. Step 3: Cross multiply
    32,695.44x = 49,073.94 × 17,124
  4. Step 4: Simplify right side
    32,695.44x = 840,342,148.56
  5. Step 5: Solve for x
    x = 840,342,148.56/32,695.44
  6. Step 6: Final answer
    x = 25,702.12

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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.