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Finding the Fourth Proportional to 27,408.71, 41,114.05 and 14,078.11

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Solution

The fourth proportional to 27,408.71, 41,114.05 and 14,078.11 is: 21,117.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,408.71 : 41,114.05 = 14,078.11 : x
  2. Step 2: Convert to fraction form
    27,408.71/41,114.05 = 14,078.11/x
  3. Step 3: Cross multiply
    27,408.71x = 41,114.05 × 14,078.11
  4. Step 4: Simplify right side
    27,408.71x = 578,808,118.45
  5. Step 5: Solve for x
    x = 578,808,118.45/27,408.71
  6. Step 6: Final answer
    x = 21,117.67

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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.