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Finding the Fourth Proportional to 107,645.61, 161,468.24 and 36,575.64

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Solution

The fourth proportional to 107,645.61, 161,468.24 and 36,575.64 is: 54,863.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,645.61 : 161,468.24 = 36,575.64 : x
  2. Step 2: Convert to fraction form
    107,645.61/161,468.24 = 36,575.64/x
  3. Step 3: Cross multiply
    107,645.61x = 161,468.24 × 36,575.64
  4. Step 4: Simplify right side
    107,645.61x = 5,905,804,217.67
  5. Step 5: Solve for x
    x = 5,905,804,217.67/107,645.61
  6. Step 6: Final answer
    x = 54,863.40

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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.