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Finding the Fourth Proportional to 42,036.93, 57,992.58 and 27,678.24

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Solution

The fourth proportional to 42,036.93, 57,992.58 and 27,678.24 is: 38,183.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,036.93 : 57,992.58 = 27,678.24 : x
  2. Step 2: Convert to fraction form
    42,036.93/57,992.58 = 27,678.24/x
  3. Step 3: Cross multiply
    42,036.93x = 57,992.58 × 27,678.24
  4. Step 4: Simplify right side
    42,036.93x = 1,605,132,547.46
  5. Step 5: Solve for x
    x = 1,605,132,547.46/42,036.93
  6. Step 6: Final answer
    x = 38,183.87

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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.