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Finding the Fourth Proportional to 65,156.28, 89,895.06 and 38,290.20

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Solution

The fourth proportional to 65,156.28, 89,895.06 and 38,290.20 is: 52,828.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,156.28 : 89,895.06 = 38,290.20 : x
  2. Step 2: Convert to fraction form
    65,156.28/89,895.06 = 38,290.20/x
  3. Step 3: Cross multiply
    65,156.28x = 89,895.06 × 38,290.20
  4. Step 4: Simplify right side
    65,156.28x = 3,442,099,826.41
  5. Step 5: Solve for x
    x = 3,442,099,826.41/65,156.28
  6. Step 6: Final answer
    x = 52,828.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.