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Finding the Fourth Proportional to 70,600, 105,877.56 and 23,204.16

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Solution

The fourth proportional to 70,600, 105,877.56 and 23,204.16 is: 34,798.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,600 : 105,877.56 = 23,204.16 : x
  2. Step 2: Convert to fraction form
    70,600/105,877.56 = 23,204.16/x
  3. Step 3: Cross multiply
    70,600x = 105,877.56 × 23,204.16
  4. Step 4: Simplify right side
    70,600x = 2,456,799,842.65
  5. Step 5: Solve for x
    x = 2,456,799,842.65/70,600
  6. Step 6: Final answer
    x = 34,798.86

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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.