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Finding the Fourth Proportional to 48,947.60, 67,547.58 and 27,726.82

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Solution

The fourth proportional to 48,947.60, 67,547.58 and 27,726.82 is: 38,262.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,947.60 : 67,547.58 = 27,726.82 : x
  2. Step 2: Convert to fraction form
    48,947.60/67,547.58 = 27,726.82/x
  3. Step 3: Cross multiply
    48,947.60x = 67,547.58 × 27,726.82
  4. Step 4: Simplify right side
    48,947.60x = 1,872,879,592.10
  5. Step 5: Solve for x
    x = 1,872,879,592.10/48,947.60
  6. Step 6: Final answer
    x = 38,262.95

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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.