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Finding the Fourth Proportional to 70,367.34, 97,106.16 and 38,534.34

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Solution

The fourth proportional to 70,367.34, 97,106.16 and 38,534.34 is: 53,176.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,367.34 : 97,106.16 = 38,534.34 : x
  2. Step 2: Convert to fraction form
    70,367.34/97,106.16 = 38,534.34/x
  3. Step 3: Cross multiply
    70,367.34x = 97,106.16 × 38,534.34
  4. Step 4: Simplify right side
    70,367.34x = 3,741,921,785.53
  5. Step 5: Solve for x
    x = 3,741,921,785.53/70,367.34
  6. Step 6: Final answer
    x = 53,176.97

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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.