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Finding the Fourth Proportional to 38,407.67, 53,006.51 and 21,414.68

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Solution

The fourth proportional to 38,407.67, 53,006.51 and 21,414.68 is: 29,554.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,407.67 : 53,006.51 = 21,414.68 : x
  2. Step 2: Convert to fraction form
    38,407.67/53,006.51 = 21,414.68/x
  3. Step 3: Cross multiply
    38,407.67x = 53,006.51 × 21,414.68
  4. Step 4: Simplify right side
    38,407.67x = 1,135,117,184.53
  5. Step 5: Solve for x
    x = 1,135,117,184.53/38,407.67
  6. Step 6: Final answer
    x = 29,554.44

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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.