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Finding the Fourth Proportional to 30,146.80, 45,220.20 and 10,423.30

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Solution

The fourth proportional to 30,146.80, 45,220.20 and 10,423.30 is: 15,634.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,146.80 : 45,220.20 = 10,423.30 : x
  2. Step 2: Convert to fraction form
    30,146.80/45,220.20 = 10,423.30/x
  3. Step 3: Cross multiply
    30,146.80x = 45,220.20 × 10,423.30
  4. Step 4: Simplify right side
    30,146.80x = 471,343,710.66
  5. Step 5: Solve for x
    x = 471,343,710.66/30,146.80
  6. Step 6: Final answer
    x = 15,634.95

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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.