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Finding the Fourth Proportional to 70,971.40, 106,457.10 and 33,519.16

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Solution

The fourth proportional to 70,971.40, 106,457.10 and 33,519.16 is: 50,278.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,971.40 : 106,457.10 = 33,519.16 : x
  2. Step 2: Convert to fraction form
    70,971.40/106,457.10 = 33,519.16/x
  3. Step 3: Cross multiply
    70,971.40x = 106,457.10 × 33,519.16
  4. Step 4: Simplify right side
    70,971.40x = 3,568,352,568.04
  5. Step 5: Solve for x
    x = 3,568,352,568.04/70,971.40
  6. Step 6: Final answer
    x = 50,278.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.