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Finding the Fourth Proportional to 90,543.83, 135,949.04 and 50,641

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Solution

The fourth proportional to 90,543.83, 135,949.04 and 50,641 is: 76,036.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,543.83 : 135,949.04 = 50,641 : x
  2. Step 2: Convert to fraction form
    90,543.83/135,949.04 = 50,641/x
  3. Step 3: Cross multiply
    90,543.83x = 135,949.04 × 50,641
  4. Step 4: Simplify right side
    90,543.83x = 6,884,595,334.64
  5. Step 5: Solve for x
    x = 6,884,595,334.64/90,543.83
  6. Step 6: Final answer
    x = 76,036.05

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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.