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Finding the Fourth Proportional to 30,500.80, 42,089.14 and 17,069.78

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Solution

The fourth proportional to 30,500.80, 42,089.14 and 17,069.78 is: 23,555.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,500.80 : 42,089.14 = 17,069.78 : x
  2. Step 2: Convert to fraction form
    30,500.80/42,089.14 = 17,069.78/x
  3. Step 3: Cross multiply
    30,500.80x = 42,089.14 × 17,069.78
  4. Step 4: Simplify right side
    30,500.80x = 718,452,360.19
  5. Step 5: Solve for x
    x = 718,452,360.19/30,500.80
  6. Step 6: Final answer
    x = 23,555.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.