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Finding the Fourth Proportional to 48,071.54, 66,327.39 and 27,916.46

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Solution

The fourth proportional to 48,071.54, 66,327.39 and 27,916.46 is: 38,518.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,071.54 : 66,327.39 = 27,916.46 : x
  2. Step 2: Convert to fraction form
    48,071.54/66,327.39 = 27,916.46/x
  3. Step 3: Cross multiply
    48,071.54x = 66,327.39 × 27,916.46
  4. Step 4: Simplify right side
    48,071.54x = 1,851,625,846.93
  5. Step 5: Solve for x
    x = 1,851,625,846.93/48,071.54
  6. Step 6: Final answer
    x = 38,518.13

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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.