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Finding the Fourth Proportional to 107,290.82, 160,937.44 and 32,411.58

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Solution

The fourth proportional to 107,290.82, 160,937.44 and 32,411.58 is: 48,617.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,290.82 : 160,937.44 = 32,411.58 : x
  2. Step 2: Convert to fraction form
    107,290.82/160,937.44 = 32,411.58/x
  3. Step 3: Cross multiply
    107,290.82x = 160,937.44 × 32,411.58
  4. Step 4: Simplify right side
    107,290.82x = 5,216,236,711.56
  5. Step 5: Solve for x
    x = 5,216,236,711.56/107,290.82
  6. Step 6: Final answer
    x = 48,617.74

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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.