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Finding the Fourth Proportional to 45,850, 68,794.44 and 24,765.16

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Solution

The fourth proportional to 45,850, 68,794.44 and 24,765.16 is: 37,158.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,850 : 68,794.44 = 24,765.16 : x
  2. Step 2: Convert to fraction form
    45,850/68,794.44 = 24,765.16/x
  3. Step 3: Cross multiply
    45,850x = 68,794.44 × 24,765.16
  4. Step 4: Simplify right side
    45,850x = 1,703,705,313.71
  5. Step 5: Solve for x
    x = 1,703,705,313.71/45,850
  6. Step 6: Final answer
    x = 37,158.24

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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.