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Finding the Fourth Proportional to 32,702.54, 49,061.70 and 10,517.99

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Solution

The fourth proportional to 32,702.54, 49,061.70 and 10,517.99 is: 15,779.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,702.54 : 49,061.70 = 10,517.99 : x
  2. Step 2: Convert to fraction form
    32,702.54/49,061.70 = 10,517.99/x
  3. Step 3: Cross multiply
    32,702.54x = 49,061.70 × 10,517.99
  4. Step 4: Simplify right side
    32,702.54x = 516,030,224.67
  5. Step 5: Solve for x
    x = 516,030,224.67/32,702.54
  6. Step 6: Final answer
    x = 15,779.52

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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.