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Finding the Fourth Proportional to 32,137.90, 48,195.54 and 9,641.86

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Solution

The fourth proportional to 32,137.90, 48,195.54 and 9,641.86 is: 14,459.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,137.90 : 48,195.54 = 9,641.86 : x
  2. Step 2: Convert to fraction form
    32,137.90/48,195.54 = 9,641.86/x
  3. Step 3: Cross multiply
    32,137.90x = 48,195.54 × 9,641.86
  4. Step 4: Simplify right side
    32,137.90x = 464,694,528.82
  5. Step 5: Solve for x
    x = 464,694,528.82/32,137.90
  6. Step 6: Final answer
    x = 14,459.39

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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.