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Finding the Fourth Proportional to 32,841.72, 49,267.04 and 10,647.86

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Solution

The fourth proportional to 32,841.72, 49,267.04 and 10,647.86 is: 15,973.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,841.72 : 49,267.04 = 10,647.86 : x
  2. Step 2: Convert to fraction form
    32,841.72/49,267.04 = 10,647.86/x
  3. Step 3: Cross multiply
    32,841.72x = 49,267.04 × 10,647.86
  4. Step 4: Simplify right side
    32,841.72x = 524,588,244.96
  5. Step 5: Solve for x
    x = 524,588,244.96/32,841.72
  6. Step 6: Final answer
    x = 15,973.23

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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.