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Finding the Fourth Proportional to 100,569.64, 150,624.78 and 48,016.12

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Solution

The fourth proportional to 100,569.64, 150,624.78 and 48,016.12 is: 71,914.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,569.64 : 150,624.78 = 48,016.12 : x
  2. Step 2: Convert to fraction form
    100,569.64/150,624.78 = 48,016.12/x
  3. Step 3: Cross multiply
    100,569.64x = 150,624.78 × 48,016.12
  4. Step 4: Simplify right side
    100,569.64x = 7,232,417,511.45
  5. Step 5: Solve for x
    x = 7,232,417,511.45/100,569.64
  6. Step 6: Final answer
    x = 71,914.52

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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.