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Finding the Fourth Proportional to 31,655.16, 43,655.22 and 27,177.48

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Solution

The fourth proportional to 31,655.16, 43,655.22 and 27,177.48 is: 37,480.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,655.16 : 43,655.22 = 27,177.48 : x
  2. Step 2: Convert to fraction form
    31,655.16/43,655.22 = 27,177.48/x
  3. Step 3: Cross multiply
    31,655.16x = 43,655.22 × 27,177.48
  4. Step 4: Simplify right side
    31,655.16x = 1,186,438,868.45
  5. Step 5: Solve for x
    x = 1,186,438,868.45/31,655.16
  6. Step 6: Final answer
    x = 37,480.11

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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.