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Finding the Fourth Proportional to 30,281.40, 45,449.10 and 17,785.80

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Solution

The fourth proportional to 30,281.40, 45,449.10 and 17,785.80 is: 26,694.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,281.40 : 45,449.10 = 17,785.80 : x
  2. Step 2: Convert to fraction form
    30,281.40/45,449.10 = 17,785.80/x
  3. Step 3: Cross multiply
    30,281.40x = 45,449.10 × 17,785.80
  4. Step 4: Simplify right side
    30,281.40x = 808,348,602.78
  5. Step 5: Solve for x
    x = 808,348,602.78/30,281.40
  6. Step 6: Final answer
    x = 26,694.56

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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.