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Finding the Fourth Proportional to 75,490.08, 104,164.88 and 41,500

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Solution

The fourth proportional to 75,490.08, 104,164.88 and 41,500 is: 57,263.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,490.08 : 104,164.88 = 41,500 : x
  2. Step 2: Convert to fraction form
    75,490.08/104,164.88 = 41,500/x
  3. Step 3: Cross multiply
    75,490.08x = 104,164.88 × 41,500
  4. Step 4: Simplify right side
    75,490.08x = 4,322,842,520
  5. Step 5: Solve for x
    x = 4,322,842,520/75,490.08
  6. Step 6: Final answer
    x = 57,263.72

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