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Finding the Fourth Proportional to 32,127.48, 48,191.40 and 11,350.98

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Solution

The fourth proportional to 32,127.48, 48,191.40 and 11,350.98 is: 17,026.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,127.48 : 48,191.40 = 11,350.98 : x
  2. Step 2: Convert to fraction form
    32,127.48/48,191.40 = 11,350.98/x
  3. Step 3: Cross multiply
    32,127.48x = 48,191.40 × 11,350.98
  4. Step 4: Simplify right side
    32,127.48x = 547,019,617.57
  5. Step 5: Solve for x
    x = 547,019,617.57/32,127.48
  6. Step 6: Final answer
    x = 17,026.53

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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.