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Finding the Fourth Proportional to 70,406.96, 97,161.82 and 38,141.91

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Solution

The fourth proportional to 70,406.96, 97,161.82 and 38,141.91 is: 52,635.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,406.96 : 97,161.82 = 38,141.91 : x
  2. Step 2: Convert to fraction form
    70,406.96/97,161.82 = 38,141.91/x
  3. Step 3: Cross multiply
    70,406.96x = 97,161.82 × 38,141.91
  4. Step 4: Simplify right side
    70,406.96x = 3,705,937,298.52
  5. Step 5: Solve for x
    x = 3,705,937,298.52/70,406.96
  6. Step 6: Final answer
    x = 52,635.95

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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.