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Finding the Fourth Proportional to 85,146.88, 127,727.88 and 25,988.80

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Solution

The fourth proportional to 85,146.88, 127,727.88 and 25,988.80 is: 38,985.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,146.88 : 127,727.88 = 25,988.80 : x
  2. Step 2: Convert to fraction form
    85,146.88/127,727.88 = 25,988.80/x
  3. Step 3: Cross multiply
    85,146.88x = 127,727.88 × 25,988.80
  4. Step 4: Simplify right side
    85,146.88x = 3,319,494,327.74
  5. Step 5: Solve for x
    x = 3,319,494,327.74/85,146.88
  6. Step 6: Final answer
    x = 38,985.51

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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.