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Finding the Fourth Proportional to 59,378.08, 89,064.96 and 17,824

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Solution

The fourth proportional to 59,378.08, 89,064.96 and 17,824 is: 26,735.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,378.08 : 89,064.96 = 17,824 : x
  2. Step 2: Convert to fraction form
    59,378.08/89,064.96 = 17,824/x
  3. Step 3: Cross multiply
    59,378.08x = 89,064.96 × 17,824
  4. Step 4: Simplify right side
    59,378.08x = 1,587,493,847.04
  5. Step 5: Solve for x
    x = 1,587,493,847.04/59,378.08
  6. Step 6: Final answer
    x = 26,735.35

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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.