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Finding the Fourth Proportional to 96,833.84, 133,633.95 and 53,815.15

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Solution

The fourth proportional to 96,833.84, 133,633.95 and 53,815.15 is: 74,266.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,833.84 : 133,633.95 = 53,815.15 : x
  2. Step 2: Convert to fraction form
    96,833.84/133,633.95 = 53,815.15/x
  3. Step 3: Cross multiply
    96,833.84x = 133,633.95 × 53,815.15
  4. Step 4: Simplify right side
    96,833.84x = 7,191,530,277.89
  5. Step 5: Solve for x
    x = 7,191,530,277.89/96,833.84
  6. Step 6: Final answer
    x = 74,266.71

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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.