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Finding the Fourth Proportional to 83,488.54, 115,226 and 51,667.69

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Solution

The fourth proportional to 83,488.54, 115,226 and 51,667.69 is: 71,308.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,488.54 : 115,226 = 51,667.69 : x
  2. Step 2: Convert to fraction form
    83,488.54/115,226 = 51,667.69/x
  3. Step 3: Cross multiply
    83,488.54x = 115,226 × 51,667.69
  4. Step 4: Simplify right side
    83,488.54x = 5,953,461,247.94
  5. Step 5: Solve for x
    x = 5,953,461,247.94/83,488.54
  6. Step 6: Final answer
    x = 71,308.72

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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.