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Finding the Fourth Proportional to 32,446.70, 48,670.05 and 9,073.14

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Solution

The fourth proportional to 32,446.70, 48,670.05 and 9,073.14 is: 13,609.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,446.70 : 48,670.05 = 9,073.14 : x
  2. Step 2: Convert to fraction form
    32,446.70/48,670.05 = 9,073.14/x
  3. Step 3: Cross multiply
    32,446.70x = 48,670.05 × 9,073.14
  4. Step 4: Simplify right side
    32,446.70x = 441,589,888.74
  5. Step 5: Solve for x
    x = 441,589,888.74/32,446.70
  6. Step 6: Final answer
    x = 13,609.70

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1.5x scale

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.