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Finding the Fourth Proportional to 65,246.50, 97,869.75 and 28,310.50

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Solution

The fourth proportional to 65,246.50, 97,869.75 and 28,310.50 is: 42,465.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,246.50 : 97,869.75 = 28,310.50 : x
  2. Step 2: Convert to fraction form
    65,246.50/97,869.75 = 28,310.50/x
  3. Step 3: Cross multiply
    65,246.50x = 97,869.75 × 28,310.50
  4. Step 4: Simplify right side
    65,246.50x = 2,770,741,557.38
  5. Step 5: Solve for x
    x = 2,770,741,557.38/65,246.50
  6. Step 6: Final answer
    x = 42,465.75

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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.