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Finding the Fourth Proportional to 48,022.14, 66,264.03 and 27,875.82

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Solution

The fourth proportional to 48,022.14, 66,264.03 and 27,875.82 is: 38,464.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,022.14 : 66,264.03 = 27,875.82 : x
  2. Step 2: Convert to fraction form
    48,022.14/66,264.03 = 27,875.82/x
  3. Step 3: Cross multiply
    48,022.14x = 66,264.03 × 27,875.82
  4. Step 4: Simplify right side
    48,022.14x = 1,847,164,172.75
  5. Step 5: Solve for x
    x = 1,847,164,172.75/48,022.14
  6. Step 6: Final answer
    x = 38,464.85

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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.