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Finding the Fourth Proportional to 32,087.78, 48,131.68 and 8,714.20

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Solution

The fourth proportional to 32,087.78, 48,131.68 and 8,714.20 is: 13,071.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,087.78 : 48,131.68 = 8,714.20 : x
  2. Step 2: Convert to fraction form
    32,087.78/48,131.68 = 8,714.20/x
  3. Step 3: Cross multiply
    32,087.78x = 48,131.68 × 8,714.20
  4. Step 4: Simplify right side
    32,087.78x = 419,429,085.86
  5. Step 5: Solve for x
    x = 419,429,085.86/32,087.78
  6. Step 6: Final answer
    x = 13,071.30

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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.