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Finding the Fourth Proportional to 51,642.90, 71,281.17 and 30,428.82

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Solution

The fourth proportional to 51,642.90, 71,281.17 and 30,428.82 is: 42,000.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,642.90 : 71,281.17 = 30,428.82 : x
  2. Step 2: Convert to fraction form
    51,642.90/71,281.17 = 30,428.82/x
  3. Step 3: Cross multiply
    51,642.90x = 71,281.17 × 30,428.82
  4. Step 4: Simplify right side
    51,642.90x = 2,169,001,891.32
  5. Step 5: Solve for x
    x = 2,169,001,891.32/51,642.90
  6. Step 6: Final answer
    x = 42,000.00

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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.