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Finding the Fourth Proportional to 41,808.40, 62,734.16 and 27,778.08

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Solution

The fourth proportional to 41,808.40, 62,734.16 and 27,778.08 is: 41,681.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,808.40 : 62,734.16 = 27,778.08 : x
  2. Step 2: Convert to fraction form
    41,808.40/62,734.16 = 27,778.08/x
  3. Step 3: Cross multiply
    41,808.40x = 62,734.16 × 27,778.08
  4. Step 4: Simplify right side
    41,808.40x = 1,742,634,515.21
  5. Step 5: Solve for x
    x = 1,742,634,515.21/41,808.40
  6. Step 6: Final answer
    x = 41,681.44

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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.