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Finding the Fourth Proportional to 32,841.72, 49,262.54 and 10,657.31

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Solution

The fourth proportional to 32,841.72, 49,262.54 and 10,657.31 is: 15,985.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,841.72 : 49,262.54 = 10,657.31 : x
  2. Step 2: Convert to fraction form
    32,841.72/49,262.54 = 10,657.31/x
  3. Step 3: Cross multiply
    32,841.72x = 49,262.54 × 10,657.31
  4. Step 4: Simplify right side
    32,841.72x = 525,005,860.57
  5. Step 5: Solve for x
    x = 525,005,860.57/32,841.72
  6. Step 6: Final answer
    x = 15,985.94

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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.