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Finding the Fourth Proportional to 31,958.40, 47,701 and 29,988.48

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Solution

The fourth proportional to 31,958.40, 47,701 and 29,988.48 is: 44,760.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,958.40 : 47,701 = 29,988.48 : x
  2. Step 2: Convert to fraction form
    31,958.40/47,701 = 29,988.48/x
  3. Step 3: Cross multiply
    31,958.40x = 47,701 × 29,988.48
  4. Step 4: Simplify right side
    31,958.40x = 1,430,480,484.48
  5. Step 5: Solve for x
    x = 1,430,480,484.48/31,958.40
  6. Step 6: Final answer
    x = 44,760.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.