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Finding the Fourth Proportional to 75,288.60, 103,898.43 and 41,297.40

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Solution

The fourth proportional to 75,288.60, 103,898.43 and 41,297.40 is: 56,990.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,288.60 : 103,898.43 = 41,297.40 : x
  2. Step 2: Convert to fraction form
    75,288.60/103,898.43 = 41,297.40/x
  3. Step 3: Cross multiply
    75,288.60x = 103,898.43 × 41,297.40
  4. Step 4: Simplify right side
    75,288.60x = 4,290,735,023.08
  5. Step 5: Solve for x
    x = 4,290,735,023.08/75,288.60
  6. Step 6: Final answer
    x = 56,990.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.