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Finding the Fourth Proportional to 100,574.36, 150,631.90 and 48,020.74

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Solution

The fourth proportional to 100,574.36, 150,631.90 and 48,020.74 is: 71,921.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,574.36 : 150,631.90 = 48,020.74 : x
  2. Step 2: Convert to fraction form
    100,574.36/150,631.90 = 48,020.74/x
  3. Step 3: Cross multiply
    100,574.36x = 150,631.90 × 48,020.74
  4. Step 4: Simplify right side
    100,574.36x = 7,233,455,305.61
  5. Step 5: Solve for x
    x = 7,233,455,305.61/100,574.36
  6. Step 6: Final answer
    x = 71,921.46

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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.