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Finding the Fourth Proportional to 32,712.96, 45,118.08 and 27,590.40

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Solution

The fourth proportional to 32,712.96, 45,118.08 and 27,590.40 is: 38,052.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,712.96 : 45,118.08 = 27,590.40 : x
  2. Step 2: Convert to fraction form
    32,712.96/45,118.08 = 27,590.40/x
  3. Step 3: Cross multiply
    32,712.96x = 45,118.08 × 27,590.40
  4. Step 4: Simplify right side
    32,712.96x = 1,244,825,874.43
  5. Step 5: Solve for x
    x = 1,244,825,874.43/32,712.96
  6. Step 6: Final answer
    x = 38,052.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.