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Finding the Fourth Proportional to 32,177.49, 48,296.40 and 17,398.05

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Solution

The fourth proportional to 32,177.49, 48,296.40 and 17,398.05 is: 26,113.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,177.49 : 48,296.40 = 17,398.05 : x
  2. Step 2: Convert to fraction form
    32,177.49/48,296.40 = 17,398.05/x
  3. Step 3: Cross multiply
    32,177.49x = 48,296.40 × 17,398.05
  4. Step 4: Simplify right side
    32,177.49x = 840,263,182.02
  5. Step 5: Solve for x
    x = 840,263,182.02/32,177.49
  6. Step 6: Final answer
    x = 26,113.38

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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.