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Finding the Fourth Proportional to 32,193.78, 48,293.10 and 11,132.98

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Solution

The fourth proportional to 32,193.78, 48,293.10 and 11,132.98 is: 16,700.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,193.78 : 48,293.10 = 11,132.98 : x
  2. Step 2: Convert to fraction form
    32,193.78/48,293.10 = 11,132.98/x
  3. Step 3: Cross multiply
    32,193.78x = 48,293.10 × 11,132.98
  4. Step 4: Simplify right side
    32,193.78x = 537,646,116.44
  5. Step 5: Solve for x
    x = 537,646,116.44/32,193.78
  6. Step 6: Final answer
    x = 16,700.31

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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.