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Finding the Fourth Proportional to 100,275.16, 150,407.20 and 33,708.40

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Solution

The fourth proportional to 100,275.16, 150,407.20 and 33,708.40 is: 50,560.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,275.16 : 150,407.20 = 33,708.40 : x
  2. Step 2: Convert to fraction form
    100,275.16/150,407.20 = 33,708.40/x
  3. Step 3: Cross multiply
    100,275.16x = 150,407.20 × 33,708.40
  4. Step 4: Simplify right side
    100,275.16x = 5,069,986,060.48
  5. Step 5: Solve for x
    x = 5,069,986,060.48/100,275.16
  6. Step 6: Final answer
    x = 50,560.74

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