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Finding the Fourth Proportional to 38,512.90, 53,145.90 and 21,513.77

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Solution

The fourth proportional to 38,512.90, 53,145.90 and 21,513.77 is: 29,687.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,512.90 : 53,145.90 = 21,513.77 : x
  2. Step 2: Convert to fraction form
    38,512.90/53,145.90 = 21,513.77/x
  3. Step 3: Cross multiply
    38,512.90x = 53,145.90 × 21,513.77
  4. Step 4: Simplify right side
    38,512.90x = 1,143,368,669.04
  5. Step 5: Solve for x
    x = 1,143,368,669.04/38,512.90
  6. Step 6: Final answer
    x = 29,687.94

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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.