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Finding the Fourth Proportional to 32,049.49, 48,068.68 and 8,670.46

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Solution

The fourth proportional to 32,049.49, 48,068.68 and 8,670.46 is: 13,004.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,049.49 : 48,068.68 = 8,670.46 : x
  2. Step 2: Convert to fraction form
    32,049.49/48,068.68 = 8,670.46/x
  3. Step 3: Cross multiply
    32,049.49x = 48,068.68 × 8,670.46
  4. Step 4: Simplify right side
    32,049.49x = 416,777,326.85
  5. Step 5: Solve for x
    x = 416,777,326.85/32,049.49
  6. Step 6: Final answer
    x = 13,004.18

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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.