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Finding the Fourth Proportional to 65,503.58, 98,276.13 and 23,382.74

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Solution

The fourth proportional to 65,503.58, 98,276.13 and 23,382.74 is: 35,081.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,503.58 : 98,276.13 = 23,382.74 : x
  2. Step 2: Convert to fraction form
    65,503.58/98,276.13 = 23,382.74/x
  3. Step 3: Cross multiply
    65,503.58x = 98,276.13 × 23,382.74
  4. Step 4: Simplify right side
    65,503.58x = 2,297,965,441.69
  5. Step 5: Solve for x
    x = 2,297,965,441.69/65,503.58
  6. Step 6: Final answer
    x = 35,081.53

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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.