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Finding the Fourth Proportional to 56,922.60, 85,403.04 and 35,838

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Solution

The fourth proportional to 56,922.60, 85,403.04 and 35,838 is: 53,769.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,922.60 : 85,403.04 = 35,838 : x
  2. Step 2: Convert to fraction form
    56,922.60/85,403.04 = 35,838/x
  3. Step 3: Cross multiply
    56,922.60x = 85,403.04 × 35,838
  4. Step 4: Simplify right side
    56,922.60x = 3,060,674,147.52
  5. Step 5: Solve for x
    x = 3,060,674,147.52/56,922.60
  6. Step 6: Final answer
    x = 53,769.05

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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.