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Finding the Fourth Proportional to 90,569.64, 135,854.46 and 28,245

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Solution

The fourth proportional to 90,569.64, 135,854.46 and 28,245 is: 42,367.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,569.64 : 135,854.46 = 28,245 : x
  2. Step 2: Convert to fraction form
    90,569.64/135,854.46 = 28,245/x
  3. Step 3: Cross multiply
    90,569.64x = 135,854.46 × 28,245
  4. Step 4: Simplify right side
    90,569.64x = 3,837,209,222.70
  5. Step 5: Solve for x
    x = 3,837,209,222.70/90,569.64
  6. Step 6: Final answer
    x = 42,367.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.