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Finding the Fourth Proportional to 32,495.85, 48,747.02 and 11,714.49

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Solution

The fourth proportional to 32,495.85, 48,747.02 and 11,714.49 is: 17,572.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,495.85 : 48,747.02 = 11,714.49 : x
  2. Step 2: Convert to fraction form
    32,495.85/48,747.02 = 11,714.49/x
  3. Step 3: Cross multiply
    32,495.85x = 48,747.02 × 11,714.49
  4. Step 4: Simplify right side
    32,495.85x = 571,046,419.75
  5. Step 5: Solve for x
    x = 571,046,419.75/32,495.85
  6. Step 6: Final answer
    x = 17,572.90

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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.