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Finding the Fourth Proportional to 70,411.56, 97,171.84 and 40,206.58

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Solution

The fourth proportional to 70,411.56, 97,171.84 and 40,206.58 is: 55,487.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,411.56 : 97,171.84 = 40,206.58 : x
  2. Step 2: Convert to fraction form
    70,411.56/97,171.84 = 40,206.58/x
  3. Step 3: Cross multiply
    70,411.56x = 97,171.84 × 40,206.58
  4. Step 4: Simplify right side
    70,411.56x = 3,906,947,530.43
  5. Step 5: Solve for x
    x = 3,906,947,530.43/70,411.56
  6. Step 6: Final answer
    x = 55,487.30

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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.