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Finding the Fourth Proportional to 100,990.76, 151,486.52 and 30,869.80

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Solution

The fourth proportional to 100,990.76, 151,486.52 and 30,869.80 is: 46,304.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,990.76 : 151,486.52 = 30,869.80 : x
  2. Step 2: Convert to fraction form
    100,990.76/151,486.52 = 30,869.80/x
  3. Step 3: Cross multiply
    100,990.76x = 151,486.52 × 30,869.80
  4. Step 4: Simplify right side
    100,990.76x = 4,676,358,575.10
  5. Step 5: Solve for x
    x = 4,676,358,575.10/100,990.76
  6. Step 6: Final answer
    x = 46,304.82

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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.