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Finding the Fourth Proportional to 27,701.28, 41,567.04 and 16,037.28

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Solution

The fourth proportional to 27,701.28, 41,567.04 and 16,037.28 is: 24,064.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,701.28 : 41,567.04 = 16,037.28 : x
  2. Step 2: Convert to fraction form
    27,701.28/41,567.04 = 16,037.28/x
  3. Step 3: Cross multiply
    27,701.28x = 41,567.04 × 16,037.28
  4. Step 4: Simplify right side
    27,701.28x = 666,622,259.25
  5. Step 5: Solve for x
    x = 666,622,259.25/27,701.28
  6. Step 6: Final answer
    x = 24,064.67

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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.