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Finding the Fourth Proportional to 32,427.72, 48,641.58 and 18,567

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Solution

The fourth proportional to 32,427.72, 48,641.58 and 18,567 is: 27,850.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,427.72 : 48,641.58 = 18,567 : x
  2. Step 2: Convert to fraction form
    32,427.72/48,641.58 = 18,567/x
  3. Step 3: Cross multiply
    32,427.72x = 48,641.58 × 18,567
  4. Step 4: Simplify right side
    32,427.72x = 903,128,215.86
  5. Step 5: Solve for x
    x = 903,128,215.86/32,427.72
  6. Step 6: Final answer
    x = 27,850.50

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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.