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Finding the Fourth Proportional to 38,709.74, 53,368.31 and 25,257.64

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Solution

The fourth proportional to 38,709.74, 53,368.31 and 25,257.64 is: 34,822.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,709.74 : 53,368.31 = 25,257.64 : x
  2. Step 2: Convert to fraction form
    38,709.74/53,368.31 = 25,257.64/x
  3. Step 3: Cross multiply
    38,709.74x = 53,368.31 × 25,257.64
  4. Step 4: Simplify right side
    38,709.74x = 1,347,957,168.26
  5. Step 5: Solve for x
    x = 1,347,957,168.26/38,709.74
  6. Step 6: Final answer
    x = 34,822.18

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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.