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Finding the Fourth Proportional to 106,237.76, 159,350.88 and 32,360

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Solution

The fourth proportional to 106,237.76, 159,350.88 and 32,360 is: 48,538.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,237.76 : 159,350.88 = 32,360 : x
  2. Step 2: Convert to fraction form
    106,237.76/159,350.88 = 32,360/x
  3. Step 3: Cross multiply
    106,237.76x = 159,350.88 × 32,360
  4. Step 4: Simplify right side
    106,237.76x = 5,156,594,476.80
  5. Step 5: Solve for x
    x = 5,156,594,476.80/106,237.76
  6. Step 6: Final answer
    x = 48,538.25

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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.