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Finding the Fourth Proportional to 90,482.76, 135,735.62 and 34,342.47

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Solution

The fourth proportional to 90,482.76, 135,735.62 and 34,342.47 is: 51,518.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,482.76 : 135,735.62 = 34,342.47 : x
  2. Step 2: Convert to fraction form
    90,482.76/135,735.62 = 34,342.47/x
  3. Step 3: Cross multiply
    90,482.76x = 135,735.62 × 34,342.47
  4. Step 4: Simplify right side
    90,482.76x = 4,661,496,286.07
  5. Step 5: Solve for x
    x = 4,661,496,286.07/90,482.76
  6. Step 6: Final answer
    x = 51,518.06

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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.