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Finding the Fourth Proportional to 70,913.52, 106,407.52 and 31,498.88

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Solution

The fourth proportional to 70,913.52, 106,407.52 and 31,498.88 is: 47,264.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,913.52 : 106,407.52 = 31,498.88 : x
  2. Step 2: Convert to fraction form
    70,913.52/106,407.52 = 31,498.88/x
  3. Step 3: Cross multiply
    70,913.52x = 106,407.52 × 31,498.88
  4. Step 4: Simplify right side
    70,913.52x = 3,351,717,703.58
  5. Step 5: Solve for x
    x = 3,351,717,703.58/70,913.52
  6. Step 6: Final answer
    x = 47,264.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.