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Finding the Fourth Proportional to 97,874.44, 135,066.78 and 53,162.44

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Solution

The fourth proportional to 97,874.44, 135,066.78 and 53,162.44 is: 73,364.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,874.44 : 135,066.78 = 53,162.44 : x
  2. Step 2: Convert to fraction form
    97,874.44/135,066.78 = 53,162.44/x
  3. Step 3: Cross multiply
    97,874.44x = 135,066.78 × 53,162.44
  4. Step 4: Simplify right side
    97,874.44x = 7,180,479,587.74
  5. Step 5: Solve for x
    x = 7,180,479,587.74/97,874.44
  6. Step 6: Final answer
    x = 73,364.20

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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.