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Finding the Fourth Proportional to 32,702.50, 48,782.24 and 31,609.18

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Solution

The fourth proportional to 32,702.50, 48,782.24 and 31,609.18 is: 47,151.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,702.50 : 48,782.24 = 31,609.18 : x
  2. Step 2: Convert to fraction form
    32,702.50/48,782.24 = 31,609.18/x
  3. Step 3: Cross multiply
    32,702.50x = 48,782.24 × 31,609.18
  4. Step 4: Simplify right side
    32,702.50x = 1,541,966,604.96
  5. Step 5: Solve for x
    x = 1,541,966,604.96/32,702.50
  6. Step 6: Final answer
    x = 47,151.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.