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Finding the Fourth Proportional to 107,019.88, 160,531.58 and 40,491.32

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Solution

The fourth proportional to 107,019.88, 160,531.58 and 40,491.32 is: 60,737.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,019.88 : 160,531.58 = 40,491.32 : x
  2. Step 2: Convert to fraction form
    107,019.88/160,531.58 = 40,491.32/x
  3. Step 3: Cross multiply
    107,019.88x = 160,531.58 × 40,491.32
  4. Step 4: Simplify right side
    107,019.88x = 6,500,135,575.89
  5. Step 5: Solve for x
    x = 6,500,135,575.89/107,019.88
  6. Step 6: Final answer
    x = 60,737.65

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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.