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Finding the Fourth Proportional to 51,133.88, 70,565.28 and 29,909

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Solution

The fourth proportional to 51,133.88, 70,565.28 and 29,909 is: 41,274.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,133.88 : 70,565.28 = 29,909 : x
  2. Step 2: Convert to fraction form
    51,133.88/70,565.28 = 29,909/x
  3. Step 3: Cross multiply
    51,133.88x = 70,565.28 × 29,909
  4. Step 4: Simplify right side
    51,133.88x = 2,110,536,959.52
  5. Step 5: Solve for x
    x = 2,110,536,959.52/51,133.88
  6. Step 6: Final answer
    x = 41,274.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.