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Finding the Fourth Proportional to 101,774.48, 152,662.10 and 42,568.61

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Solution

The fourth proportional to 101,774.48, 152,662.10 and 42,568.61 is: 63,853.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,774.48 : 152,662.10 = 42,568.61 : x
  2. Step 2: Convert to fraction form
    101,774.48/152,662.10 = 42,568.61/x
  3. Step 3: Cross multiply
    101,774.48x = 152,662.10 × 42,568.61
  4. Step 4: Simplify right side
    101,774.48x = 6,498,614,127.65
  5. Step 5: Solve for x
    x = 6,498,614,127.65/101,774.48
  6. Step 6: Final answer
    x = 63,853.08

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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.