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Finding the Fourth Proportional to 70,276.43, 105,461.32 and 32,839.39

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Solution

The fourth proportional to 70,276.43, 105,461.32 and 32,839.39 is: 49,280.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,276.43 : 105,461.32 = 32,839.39 : x
  2. Step 2: Convert to fraction form
    70,276.43/105,461.32 = 32,839.39/x
  3. Step 3: Cross multiply
    70,276.43x = 105,461.32 × 32,839.39
  4. Step 4: Simplify right side
    70,276.43x = 3,463,285,417.39
  5. Step 5: Solve for x
    x = 3,463,285,417.39/70,276.43
  6. Step 6: Final answer
    x = 49,280.90

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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.