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Finding the Fourth Proportional to 96,402.64, 133,034.32 and 53,961.20

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Solution

The fourth proportional to 96,402.64, 133,034.32 and 53,961.20 is: 74,465.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,402.64 : 133,034.32 = 53,961.20 : x
  2. Step 2: Convert to fraction form
    96,402.64/133,034.32 = 53,961.20/x
  3. Step 3: Cross multiply
    96,402.64x = 133,034.32 × 53,961.20
  4. Step 4: Simplify right side
    96,402.64x = 7,178,691,548.38
  5. Step 5: Solve for x
    x = 7,178,691,548.38/96,402.64
  6. Step 6: Final answer
    x = 74,465.72

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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.