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Finding the Fourth Proportional to 47,920.82, 71,885.54 and 12,860.24

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Solution

The fourth proportional to 47,920.82, 71,885.54 and 12,860.24 is: 19,291.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,920.82 : 71,885.54 = 12,860.24 : x
  2. Step 2: Convert to fraction form
    47,920.82/71,885.54 = 12,860.24/x
  3. Step 3: Cross multiply
    47,920.82x = 71,885.54 × 12,860.24
  4. Step 4: Simplify right side
    47,920.82x = 924,464,969.65
  5. Step 5: Solve for x
    x = 924,464,969.65/47,920.82
  6. Step 6: Final answer
    x = 19,291.51

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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.