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Finding the Fourth Proportional to 92,038.56, 138,058.02 and 25,478.88

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Solution

The fourth proportional to 92,038.56, 138,058.02 and 25,478.88 is: 38,218.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,038.56 : 138,058.02 = 25,478.88 : x
  2. Step 2: Convert to fraction form
    92,038.56/138,058.02 = 25,478.88/x
  3. Step 3: Cross multiply
    92,038.56x = 138,058.02 × 25,478.88
  4. Step 4: Simplify right side
    92,038.56x = 3,517,563,724.62
  5. Step 5: Solve for x
    x = 3,517,563,724.62/92,038.56
  6. Step 6: Final answer
    x = 38,218.37

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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.