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Finding the Fourth Proportional to 38,577.61, 57,772.04 and 34,837.84

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Solution

The fourth proportional to 38,577.61, 57,772.04 and 34,837.84 is: 52,171.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,577.61 : 57,772.04 = 34,837.84 : x
  2. Step 2: Convert to fraction form
    38,577.61/57,772.04 = 34,837.84/x
  3. Step 3: Cross multiply
    38,577.61x = 57,772.04 × 34,837.84
  4. Step 4: Simplify right side
    38,577.61x = 2,012,652,797.13
  5. Step 5: Solve for x
    x = 2,012,652,797.13/38,577.61
  6. Step 6: Final answer
    x = 52,171.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.