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Finding the Fourth Proportional to 57,058.54, 85,408.50 and 39,184.54

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Solution

The fourth proportional to 57,058.54, 85,408.50 and 39,184.54 is: 58,653.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,058.54 : 85,408.50 = 39,184.54 : x
  2. Step 2: Convert to fraction form
    57,058.54/85,408.50 = 39,184.54/x
  3. Step 3: Cross multiply
    57,058.54x = 85,408.50 × 39,184.54
  4. Step 4: Simplify right side
    57,058.54x = 3,346,692,784.59
  5. Step 5: Solve for x
    x = 3,346,692,784.59/57,058.54
  6. Step 6: Final answer
    x = 58,653.67

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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.