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Finding the Fourth Proportional to 38,575.80, 53,240.76 and 22,664.16

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Solution

The fourth proportional to 38,575.80, 53,240.76 and 22,664.16 is: 31,280.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,575.80 : 53,240.76 = 22,664.16 : x
  2. Step 2: Convert to fraction form
    38,575.80/53,240.76 = 22,664.16/x
  3. Step 3: Cross multiply
    38,575.80x = 53,240.76 × 22,664.16
  4. Step 4: Simplify right side
    38,575.80x = 1,206,657,103.16
  5. Step 5: Solve for x
    x = 1,206,657,103.16/38,575.80
  6. Step 6: Final answer
    x = 31,280.16

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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.