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Finding the Fourth Proportional to 33,461.47, 46,180.68 and 20,032.71

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Solution

The fourth proportional to 33,461.47, 46,180.68 and 20,032.71 is: 27,647.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,461.47 : 46,180.68 = 20,032.71 : x
  2. Step 2: Convert to fraction form
    33,461.47/46,180.68 = 20,032.71/x
  3. Step 3: Cross multiply
    33,461.47x = 46,180.68 × 20,032.71
  4. Step 4: Simplify right side
    33,461.47x = 925,124,294.19
  5. Step 5: Solve for x
    x = 925,124,294.19/33,461.47
  6. Step 6: Final answer
    x = 27,647.45

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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.