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Finding the Fourth Proportional to 32,854.40, 45,339.08 and 17,747.06

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Solution

The fourth proportional to 32,854.40, 45,339.08 and 17,747.06 is: 24,490.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,854.40 : 45,339.08 = 17,747.06 : x
  2. Step 2: Convert to fraction form
    32,854.40/45,339.08 = 17,747.06/x
  3. Step 3: Cross multiply
    32,854.40x = 45,339.08 × 17,747.06
  4. Step 4: Simplify right side
    32,854.40x = 804,635,146.41
  5. Step 5: Solve for x
    x = 804,635,146.41/32,854.40
  6. Step 6: Final answer
    x = 24,490.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.