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Finding the Fourth Proportional to 32,514.57, 48,742.30 and 12,511.30

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Solution

The fourth proportional to 32,514.57, 48,742.30 and 12,511.30 is: 18,755.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,514.57 : 48,742.30 = 12,511.30 : x
  2. Step 2: Convert to fraction form
    32,514.57/48,742.30 = 12,511.30/x
  3. Step 3: Cross multiply
    32,514.57x = 48,742.30 × 12,511.30
  4. Step 4: Simplify right side
    32,514.57x = 609,829,590.15
  5. Step 5: Solve for x
    x = 609,829,590.15/32,514.57
  6. Step 6: Final answer
    x = 18,755.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.