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Finding the Fourth Proportional to 97,874.28, 135,066.54 and 53,162.28

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Solution

The fourth proportional to 97,874.28, 135,066.54 and 53,162.28 is: 73,363.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,874.28 : 135,066.54 = 53,162.28 : x
  2. Step 2: Convert to fraction form
    97,874.28/135,066.54 = 53,162.28/x
  3. Step 3: Cross multiply
    97,874.28x = 135,066.54 × 53,162.28
  4. Step 4: Simplify right side
    97,874.28x = 7,180,445,218.11
  5. Step 5: Solve for x
    x = 7,180,445,218.11/97,874.28
  6. Step 6: Final answer
    x = 73,363.96

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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.