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Finding the Fourth Proportional to 48,012.98, 66,247.30 and 27,858.18

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Solution

The fourth proportional to 48,012.98, 66,247.30 and 27,858.18 is: 38,438.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,012.98 : 66,247.30 = 27,858.18 : x
  2. Step 2: Convert to fraction form
    48,012.98/66,247.30 = 27,858.18/x
  3. Step 3: Cross multiply
    48,012.98x = 66,247.30 × 27,858.18
  4. Step 4: Simplify right side
    48,012.98x = 1,845,529,207.91
  5. Step 5: Solve for x
    x = 1,845,529,207.91/48,012.98
  6. Step 6: Final answer
    x = 38,438.13

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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.