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Finding the Fourth Proportional to 39,051.84, 53,891.22 and 21,146.40

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Solution

The fourth proportional to 39,051.84, 53,891.22 and 21,146.40 is: 29,181.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,051.84 : 53,891.22 = 21,146.40 : x
  2. Step 2: Convert to fraction form
    39,051.84/53,891.22 = 21,146.40/x
  3. Step 3: Cross multiply
    39,051.84x = 53,891.22 × 21,146.40
  4. Step 4: Simplify right side
    39,051.84x = 1,139,605,294.61
  5. Step 5: Solve for x
    x = 1,139,605,294.61/39,051.84
  6. Step 6: Final answer
    x = 29,181.86

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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.