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Finding the Fourth Proportional to 34,944, 48,223.80 and 20,040

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Solution

The fourth proportional to 34,944, 48,223.80 and 20,040 is: 27,655.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,944 : 48,223.80 = 20,040 : x
  2. Step 2: Convert to fraction form
    34,944/48,223.80 = 20,040/x
  3. Step 3: Cross multiply
    34,944x = 48,223.80 × 20,040
  4. Step 4: Simplify right side
    34,944x = 966,404,952
  5. Step 5: Solve for x
    x = 966,404,952/34,944
  6. Step 6: Final answer
    x = 27,655.82

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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.