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Finding the Fourth Proportional to 27,534.36, 38,016.71 and 24,323.12

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Solution

The fourth proportional to 27,534.36, 38,016.71 and 24,323.12 is: 33,582.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,534.36 : 38,016.71 = 24,323.12 : x
  2. Step 2: Convert to fraction form
    27,534.36/38,016.71 = 24,323.12/x
  3. Step 3: Cross multiply
    27,534.36x = 38,016.71 × 24,323.12
  4. Step 4: Simplify right side
    27,534.36x = 924,684,921.41
  5. Step 5: Solve for x
    x = 924,684,921.41/27,534.36
  6. Step 6: Final answer
    x = 33,582.94

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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.