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Finding the Fourth Proportional to 31,403.84, 43,292.49 and 22,448.08

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Solution

The fourth proportional to 31,403.84, 43,292.49 and 22,448.08 is: 30,946.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,403.84 : 43,292.49 = 22,448.08 : x
  2. Step 2: Convert to fraction form
    31,403.84/43,292.49 = 22,448.08/x
  3. Step 3: Cross multiply
    31,403.84x = 43,292.49 × 22,448.08
  4. Step 4: Simplify right side
    31,403.84x = 971,833,062.46
  5. Step 5: Solve for x
    x = 971,833,062.46/31,403.84
  6. Step 6: Final answer
    x = 30,946.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.