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Finding the Fourth Proportional to 115,740.32, 173,624.37 and 40,845

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Solution

The fourth proportional to 115,740.32, 173,624.37 and 40,845 is: 61,272.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,740.32 : 173,624.37 = 40,845 : x
  2. Step 2: Convert to fraction form
    115,740.32/173,624.37 = 40,845/x
  3. Step 3: Cross multiply
    115,740.32x = 173,624.37 × 40,845
  4. Step 4: Simplify right side
    115,740.32x = 7,091,687,392.65
  5. Step 5: Solve for x
    x = 7,091,687,392.65/115,740.32
  6. Step 6: Final answer
    x = 61,272.40

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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.