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Finding the Fourth Proportional to 100,362.91, 138,506.94 and 57,924.17

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Solution

The fourth proportional to 100,362.91, 138,506.94 and 57,924.17 is: 79,938.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,362.91 : 138,506.94 = 57,924.17 : x
  2. Step 2: Convert to fraction form
    100,362.91/138,506.94 = 57,924.17/x
  3. Step 3: Cross multiply
    100,362.91x = 138,506.94 × 57,924.17
  4. Step 4: Simplify right side
    100,362.91x = 8,022,899,538.74
  5. Step 5: Solve for x
    x = 8,022,899,538.74/100,362.91
  6. Step 6: Final answer
    x = 79,938.89

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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.