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Finding the Fourth Proportional to 32,409.90, 48,586.14 and 12,702.60

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Solution

The fourth proportional to 32,409.90, 48,586.14 and 12,702.60 is: 19,042.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,409.90 : 48,586.14 = 12,702.60 : x
  2. Step 2: Convert to fraction form
    32,409.90/48,586.14 = 12,702.60/x
  3. Step 3: Cross multiply
    32,409.90x = 48,586.14 × 12,702.60
  4. Step 4: Simplify right side
    32,409.90x = 617,170,301.96
  5. Step 5: Solve for x
    x = 617,170,301.96/32,409.90
  6. Step 6: Final answer
    x = 19,042.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.