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Finding the Fourth Proportional to 71,477.56, 98,638.32 and 39,645.64

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Solution

The fourth proportional to 71,477.56, 98,638.32 and 39,645.64 is: 54,710.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,477.56 : 98,638.32 = 39,645.64 : x
  2. Step 2: Convert to fraction form
    71,477.56/98,638.32 = 39,645.64/x
  3. Step 3: Cross multiply
    71,477.56x = 98,638.32 × 39,645.64
  4. Step 4: Simplify right side
    71,477.56x = 3,910,579,324.92
  5. Step 5: Solve for x
    x = 3,910,579,324.92/71,477.56
  6. Step 6: Final answer
    x = 54,710.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.