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Finding the Fourth Proportional to 27,719.01, 38,155.86 and 24,176.07

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Solution

The fourth proportional to 27,719.01, 38,155.86 and 24,176.07 is: 33,278.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,719.01 : 38,155.86 = 24,176.07 : x
  2. Step 2: Convert to fraction form
    27,719.01/38,155.86 = 24,176.07/x
  3. Step 3: Cross multiply
    27,719.01x = 38,155.86 × 24,176.07
  4. Step 4: Simplify right side
    27,719.01x = 922,458,742.27
  5. Step 5: Solve for x
    x = 922,458,742.27/27,719.01
  6. Step 6: Final answer
    x = 33,278.92

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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.