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Finding the Fourth Proportional to 38,775.78, 53,509.42 and 21,548.09

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Solution

The fourth proportional to 38,775.78, 53,509.42 and 21,548.09 is: 29,735.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,775.78 : 53,509.42 = 21,548.09 : x
  2. Step 2: Convert to fraction form
    38,775.78/53,509.42 = 21,548.09/x
  3. Step 3: Cross multiply
    38,775.78x = 53,509.42 × 21,548.09
  4. Step 4: Simplify right side
    38,775.78x = 1,153,025,877.91
  5. Step 5: Solve for x
    x = 1,153,025,877.91/38,775.78
  6. Step 6: Final answer
    x = 29,735.72

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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.