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Finding the Fourth Proportional to 92,497.40, 138,738.96 and 25,934

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Solution

The fourth proportional to 92,497.40, 138,738.96 and 25,934 is: 38,899.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,497.40 : 138,738.96 = 25,934 : x
  2. Step 2: Convert to fraction form
    92,497.40/138,738.96 = 25,934/x
  3. Step 3: Cross multiply
    92,497.40x = 138,738.96 × 25,934
  4. Step 4: Simplify right side
    92,497.40x = 3,598,056,188.64
  5. Step 5: Solve for x
    x = 3,598,056,188.64/92,497.40
  6. Step 6: Final answer
    x = 38,899.00

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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.