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Finding the Fourth Proportional to 27,892.16, 38,468.56 and 24,527.84

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Solution

The fourth proportional to 27,892.16, 38,468.56 and 24,527.84 is: 33,828.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,892.16 : 38,468.56 = 24,527.84 : x
  2. Step 2: Convert to fraction form
    27,892.16/38,468.56 = 24,527.84/x
  3. Step 3: Cross multiply
    27,892.16x = 38,468.56 × 24,527.84
  4. Step 4: Simplify right side
    27,892.16x = 943,550,684.71
  5. Step 5: Solve for x
    x = 943,550,684.71/27,892.16
  6. Step 6: Final answer
    x = 33,828.53

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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.