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Finding the Fourth Proportional to 86,924.19, 119,951.24 and 53,383.71

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Solution

The fourth proportional to 86,924.19, 119,951.24 and 53,383.71 is: 73,666.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,924.19 : 119,951.24 = 53,383.71 : x
  2. Step 2: Convert to fraction form
    86,924.19/119,951.24 = 53,383.71/x
  3. Step 3: Cross multiply
    86,924.19x = 119,951.24 × 53,383.71
  4. Step 4: Simplify right side
    86,924.19x = 6,403,441,943.38
  5. Step 5: Solve for x
    x = 6,403,441,943.38/86,924.19
  6. Step 6: Final answer
    x = 73,666.97

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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.