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Finding the Fourth Proportional to 92,294.40, 138,422.70 and 25,717.80

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Solution

The fourth proportional to 92,294.40, 138,422.70 and 25,717.80 is: 38,571.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,294.40 : 138,422.70 = 25,717.80 : x
  2. Step 2: Convert to fraction form
    92,294.40/138,422.70 = 25,717.80/x
  3. Step 3: Cross multiply
    92,294.40x = 138,422.70 × 25,717.80
  4. Step 4: Simplify right side
    92,294.40x = 3,559,927,314.06
  5. Step 5: Solve for x
    x = 3,559,927,314.06/92,294.40
  6. Step 6: Final answer
    x = 38,571.43

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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.