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Finding the Fourth Proportional to 27,546, 38,113.56 and 24,016.56

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Solution

The fourth proportional to 27,546, 38,113.56 and 24,016.56 is: 33,230.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,546 : 38,113.56 = 24,016.56 : x
  2. Step 2: Convert to fraction form
    27,546/38,113.56 = 24,016.56/x
  3. Step 3: Cross multiply
    27,546x = 38,113.56 × 24,016.56
  4. Step 4: Simplify right side
    27,546x = 915,356,600.55
  5. Step 5: Solve for x
    x = 915,356,600.55/27,546
  6. Step 6: Final answer
    x = 33,230.11

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1.5x scale

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.