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Finding the Fourth Proportional to 32,047.90, 48,071.96 and 9,861.11

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Solution

The fourth proportional to 32,047.90, 48,071.96 and 9,861.11 is: 14,791.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,047.90 : 48,071.96 = 9,861.11 : x
  2. Step 2: Convert to fraction form
    32,047.90/48,071.96 = 9,861.11/x
  3. Step 3: Cross multiply
    32,047.90x = 48,071.96 × 9,861.11
  4. Step 4: Simplify right side
    32,047.90x = 474,042,885.48
  5. Step 5: Solve for x
    x = 474,042,885.48/32,047.90
  6. Step 6: Final answer
    x = 14,791.70

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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.