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Finding the Fourth Proportional to 75,881.36, 113,847.48 and 47,768.72

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Solution

The fourth proportional to 75,881.36, 113,847.48 and 47,768.72 is: 71,669.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,881.36 : 113,847.48 = 47,768.72 : x
  2. Step 2: Convert to fraction form
    75,881.36/113,847.48 = 47,768.72/x
  3. Step 3: Cross multiply
    75,881.36x = 113,847.48 × 47,768.72
  4. Step 4: Simplify right side
    75,881.36x = 5,438,348,394.83
  5. Step 5: Solve for x
    x = 5,438,348,394.83/75,881.36
  6. Step 6: Final answer
    x = 71,669.09

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1.5x scale

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.