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Finding the Fourth Proportional to 48,206.30, 66,522.75 and 28,063.76

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Solution

The fourth proportional to 48,206.30, 66,522.75 and 28,063.76 is: 38,726.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,206.30 : 66,522.75 = 28,063.76 : x
  2. Step 2: Convert to fraction form
    48,206.30/66,522.75 = 28,063.76/x
  3. Step 3: Cross multiply
    48,206.30x = 66,522.75 × 28,063.76
  4. Step 4: Simplify right side
    48,206.30x = 1,866,878,490.54
  5. Step 5: Solve for x
    x = 1,866,878,490.54/48,206.30
  6. Step 6: Final answer
    x = 38,726.86

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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.