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Finding the Fourth Proportional to 82,806.74, 124,212.16 and 30,216.22

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Solution

The fourth proportional to 82,806.74, 124,212.16 and 30,216.22 is: 45,325.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,806.74 : 124,212.16 = 30,216.22 : x
  2. Step 2: Convert to fraction form
    82,806.74/124,212.16 = 30,216.22/x
  3. Step 3: Cross multiply
    82,806.74x = 124,212.16 × 30,216.22
  4. Step 4: Simplify right side
    82,806.74x = 3,753,221,953.24
  5. Step 5: Solve for x
    x = 3,753,221,953.24/82,806.74
  6. Step 6: Final answer
    x = 45,325.08

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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.