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Finding the Fourth Proportional to 39,403.24, 59,071.24 and 17,200

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Solution

The fourth proportional to 39,403.24, 59,071.24 and 17,200 is: 25,785.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,403.24 : 59,071.24 = 17,200 : x
  2. Step 2: Convert to fraction form
    39,403.24/59,071.24 = 17,200/x
  3. Step 3: Cross multiply
    39,403.24x = 59,071.24 × 17,200
  4. Step 4: Simplify right side
    39,403.24x = 1,016,025,328
  5. Step 5: Solve for x
    x = 1,016,025,328/39,403.24
  6. Step 6: Final answer
    x = 25,785.32

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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.