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Finding the Fourth Proportional to 83,823, 115,673.40 and 46,097.24

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Solution

The fourth proportional to 83,823, 115,673.40 and 46,097.24 is: 63,612.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,823 : 115,673.40 = 46,097.24 : x
  2. Step 2: Convert to fraction form
    83,823/115,673.40 = 46,097.24/x
  3. Step 3: Cross multiply
    83,823x = 115,673.40 × 46,097.24
  4. Step 4: Simplify right side
    83,823x = 5,332,224,481.42
  5. Step 5: Solve for x
    x = 5,332,224,481.42/83,823
  6. Step 6: Final answer
    x = 63,612.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.