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Finding the Fourth Proportional to 70,314.72, 105,472.50 and 28,761.72

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Solution

The fourth proportional to 70,314.72, 105,472.50 and 28,761.72 is: 43,142.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,314.72 : 105,472.50 = 28,761.72 : x
  2. Step 2: Convert to fraction form
    70,314.72/105,472.50 = 28,761.72/x
  3. Step 3: Cross multiply
    70,314.72x = 105,472.50 × 28,761.72
  4. Step 4: Simplify right side
    70,314.72x = 3,033,570,512.70
  5. Step 5: Solve for x
    x = 3,033,570,512.70/70,314.72
  6. Step 6: Final answer
    x = 43,142.75

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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.