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Finding the Fourth Proportional to 40,066.16, 55,302.84 and 28,132.40

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Solution

The fourth proportional to 40,066.16, 55,302.84 and 28,132.40 is: 38,830.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,066.16 : 55,302.84 = 28,132.40 : x
  2. Step 2: Convert to fraction form
    40,066.16/55,302.84 = 28,132.40/x
  3. Step 3: Cross multiply
    40,066.16x = 55,302.84 × 28,132.40
  4. Step 4: Simplify right side
    40,066.16x = 1,555,801,616.02
  5. Step 5: Solve for x
    x = 1,555,801,616.02/40,066.16
  6. Step 6: Final answer
    x = 38,830.81

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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.