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Finding the Fourth Proportional to 34,642.48, 51,959.40 and 13,866.16

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Solution

The fourth proportional to 34,642.48, 51,959.40 and 13,866.16 is: 20,797.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,642.48 : 51,959.40 = 13,866.16 : x
  2. Step 2: Convert to fraction form
    34,642.48/51,959.40 = 13,866.16/x
  3. Step 3: Cross multiply
    34,642.48x = 51,959.40 × 13,866.16
  4. Step 4: Simplify right side
    34,642.48x = 720,477,353.90
  5. Step 5: Solve for x
    x = 720,477,353.90/34,642.48
  6. Step 6: Final answer
    x = 20,797.51

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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.