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Finding the Fourth Proportional to 27,100.50, 40,643.85 and 7,378.02

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Solution

The fourth proportional to 27,100.50, 40,643.85 and 7,378.02 is: 11,065.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,100.50 : 40,643.85 = 7,378.02 : x
  2. Step 2: Convert to fraction form
    27,100.50/40,643.85 = 7,378.02/x
  3. Step 3: Cross multiply
    27,100.50x = 40,643.85 × 7,378.02
  4. Step 4: Simplify right side
    27,100.50x = 299,871,138.18
  5. Step 5: Solve for x
    x = 299,871,138.18/27,100.50
  6. Step 6: Final answer
    x = 11,065.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.