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Finding the Fourth Proportional to 100,698.93, 151,048.38 and 47,948.49

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Solution

The fourth proportional to 100,698.93, 151,048.38 and 47,948.49 is: 71,922.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,698.93 : 151,048.38 = 47,948.49 : x
  2. Step 2: Convert to fraction form
    100,698.93/151,048.38 = 47,948.49/x
  3. Step 3: Cross multiply
    100,698.93x = 151,048.38 × 47,948.49
  4. Step 4: Simplify right side
    100,698.93x = 7,242,541,737.95
  5. Step 5: Solve for x
    x = 7,242,541,737.95/100,698.93
  6. Step 6: Final answer
    x = 71,922.73

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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.