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Finding the Fourth Proportional to 92,443.68, 138,393.36 and 57,270.24

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Solution

The fourth proportional to 92,443.68, 138,393.36 and 57,270.24 is: 85,736.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,443.68 : 138,393.36 = 57,270.24 : x
  2. Step 2: Convert to fraction form
    92,443.68/138,393.36 = 57,270.24/x
  3. Step 3: Cross multiply
    92,443.68x = 138,393.36 × 57,270.24
  4. Step 4: Simplify right side
    92,443.68x = 7,925,820,941.61
  5. Step 5: Solve for x
    x = 7,925,820,941.61/92,443.68
  6. Step 6: Final answer
    x = 85,736.75

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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.