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Finding the Fourth Proportional to 39,739.20, 59,642.40 and 16,382.40

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Solution

The fourth proportional to 39,739.20, 59,642.40 and 16,382.40 is: 24,587.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,739.20 : 59,642.40 = 16,382.40 : x
  2. Step 2: Convert to fraction form
    39,739.20/59,642.40 = 16,382.40/x
  3. Step 3: Cross multiply
    39,739.20x = 59,642.40 × 16,382.40
  4. Step 4: Simplify right side
    39,739.20x = 977,085,653.76
  5. Step 5: Solve for x
    x = 977,085,653.76/39,739.20
  6. Step 6: Final answer
    x = 24,587.45

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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.