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Finding the Fourth Proportional to 65,104.64, 89,846.96 and 38,246.91

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Solution

The fourth proportional to 65,104.64, 89,846.96 and 38,246.91 is: 52,782.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,104.64 : 89,846.96 = 38,246.91 : x
  2. Step 2: Convert to fraction form
    65,104.64/89,846.96 = 38,246.91/x
  3. Step 3: Cross multiply
    65,104.64x = 89,846.96 × 38,246.91
  4. Step 4: Simplify right side
    65,104.64x = 3,436,368,401.66
  5. Step 5: Solve for x
    x = 3,436,368,401.66/65,104.64
  6. Step 6: Final answer
    x = 52,782.24

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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.