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Finding the Fourth Proportional to 96,394.64, 133,023.30 and 53,953.16

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Solution

The fourth proportional to 96,394.64, 133,023.30 and 53,953.16 is: 74,454.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,394.64 : 133,023.30 = 53,953.16 : x
  2. Step 2: Convert to fraction form
    96,394.64/133,023.30 = 53,953.16/x
  3. Step 3: Cross multiply
    96,394.64x = 133,023.30 × 53,953.16
  4. Step 4: Simplify right side
    96,394.64x = 7,177,027,388.63
  5. Step 5: Solve for x
    x = 7,177,027,388.63/96,394.64
  6. Step 6: Final answer
    x = 74,454.63

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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.