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Finding the Fourth Proportional to 107,830.70, 161,707.65 and 48,694.70

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Solution

The fourth proportional to 107,830.70, 161,707.65 and 48,694.70 is: 73,024.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,830.70 : 161,707.65 = 48,694.70 : x
  2. Step 2: Convert to fraction form
    107,830.70/161,707.65 = 48,694.70/x
  3. Step 3: Cross multiply
    107,830.70x = 161,707.65 × 48,694.70
  4. Step 4: Simplify right side
    107,830.70x = 7,874,305,504.46
  5. Step 5: Solve for x
    x = 7,874,305,504.46/107,830.70
  6. Step 6: Final answer
    x = 73,024.71

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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.