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Finding the Fourth Proportional to 38,177.48, 52,684.74 and 21,410.48

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Solution

The fourth proportional to 38,177.48, 52,684.74 and 21,410.48 is: 29,546.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,177.48 : 52,684.74 = 21,410.48 : x
  2. Step 2: Convert to fraction form
    38,177.48/52,684.74 = 21,410.48/x
  3. Step 3: Cross multiply
    38,177.48x = 52,684.74 × 21,410.48
  4. Step 4: Simplify right side
    38,177.48x = 1,128,005,572.08
  5. Step 5: Solve for x
    x = 1,128,005,572.08/38,177.48
  6. Step 6: Final answer
    x = 29,546.36

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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.