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Finding the Fourth Proportional to 37,884.39, 52,302.86 and 33,681

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Solution

The fourth proportional to 37,884.39, 52,302.86 and 33,681 is: 46,499.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,884.39 : 52,302.86 = 33,681 : x
  2. Step 2: Convert to fraction form
    37,884.39/52,302.86 = 33,681/x
  3. Step 3: Cross multiply
    37,884.39x = 52,302.86 × 33,681
  4. Step 4: Simplify right side
    37,884.39x = 1,761,612,459.26
  5. Step 5: Solve for x
    x = 1,761,612,459.26/37,884.39
  6. Step 6: Final answer
    x = 46,499.69

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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.