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Finding the Fourth Proportional to 60,746.92, 83,826.68 and 38,085

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Solution

The fourth proportional to 60,746.92, 83,826.68 and 38,085 is: 52,554.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,746.92 : 83,826.68 = 38,085 : x
  2. Step 2: Convert to fraction form
    60,746.92/83,826.68 = 38,085/x
  3. Step 3: Cross multiply
    60,746.92x = 83,826.68 × 38,085
  4. Step 4: Simplify right side
    60,746.92x = 3,192,539,107.80
  5. Step 5: Solve for x
    x = 3,192,539,107.80/60,746.92
  6. Step 6: Final answer
    x = 52,554.75

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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.