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Finding the Fourth Proportional to 65,193.96, 89,969.04 and 39,701.44

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Solution

The fourth proportional to 65,193.96, 89,969.04 and 39,701.44 is: 54,788.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,193.96 : 89,969.04 = 39,701.44 : x
  2. Step 2: Convert to fraction form
    65,193.96/89,969.04 = 39,701.44/x
  3. Step 3: Cross multiply
    65,193.96x = 89,969.04 × 39,701.44
  4. Step 4: Simplify right side
    65,193.96x = 3,571,900,443.42
  5. Step 5: Solve for x
    x = 3,571,900,443.42/65,193.96
  6. Step 6: Final answer
    x = 54,788.82

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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.