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Finding the Fourth Proportional to 96,832.29, 133,630.29 and 53,815.71

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Solution

The fourth proportional to 96,832.29, 133,630.29 and 53,815.71 is: 74,266.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,832.29 : 133,630.29 = 53,815.71 : x
  2. Step 2: Convert to fraction form
    96,832.29/133,630.29 = 53,815.71/x
  3. Step 3: Cross multiply
    96,832.29x = 133,630.29 × 53,815.71
  4. Step 4: Simplify right side
    96,832.29x = 7,191,408,933.86
  5. Step 5: Solve for x
    x = 7,191,408,933.86/96,832.29
  6. Step 6: Final answer
    x = 74,266.64

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1.5x scale

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.