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Finding the Fourth Proportional to 70,414.98, 105,639.78 and 20,495.52

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Solution

The fourth proportional to 70,414.98, 105,639.78 and 20,495.52 is: 30,748.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,414.98 : 105,639.78 = 20,495.52 : x
  2. Step 2: Convert to fraction form
    70,414.98/105,639.78 = 20,495.52/x
  3. Step 3: Cross multiply
    70,414.98x = 105,639.78 × 20,495.52
  4. Step 4: Simplify right side
    70,414.98x = 2,165,142,223.79
  5. Step 5: Solve for x
    x = 2,165,142,223.79/70,414.98
  6. Step 6: Final answer
    x = 30,748.32

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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.