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Finding the Fourth Proportional to 70,311.64, 97,029.84 and 38,480.80

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Solution

The fourth proportional to 70,311.64, 97,029.84 and 38,480.80 is: 53,103.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,311.64 : 97,029.84 = 38,480.80 : x
  2. Step 2: Convert to fraction form
    70,311.64/97,029.84 = 38,480.80/x
  3. Step 3: Cross multiply
    70,311.64x = 97,029.84 × 38,480.80
  4. Step 4: Simplify right side
    70,311.64x = 3,733,785,867.07
  5. Step 5: Solve for x
    x = 3,733,785,867.07/70,311.64
  6. Step 6: Final answer
    x = 53,103.38

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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.