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Finding the Fourth Proportional to 32,806.16, 45,287.16 and 22,227.92

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Solution

The fourth proportional to 32,806.16, 45,287.16 and 22,227.92 is: 30,684.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,806.16 : 45,287.16 = 22,227.92 : x
  2. Step 2: Convert to fraction form
    32,806.16/45,287.16 = 22,227.92/x
  3. Step 3: Cross multiply
    32,806.16x = 45,287.16 × 22,227.92
  4. Step 4: Simplify right side
    32,806.16x = 1,006,639,369.51
  5. Step 5: Solve for x
    x = 1,006,639,369.51/32,806.16
  6. Step 6: Final answer
    x = 30,684.46

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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.