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Finding the Fourth Proportional to 38,177.25, 52,689.47 and 21,410.25

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Solution

The fourth proportional to 38,177.25, 52,689.47 and 21,410.25 is: 29,548.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,177.25 : 52,689.47 = 21,410.25 : x
  2. Step 2: Convert to fraction form
    38,177.25/52,689.47 = 21,410.25/x
  3. Step 3: Cross multiply
    38,177.25x = 52,689.47 × 21,410.25
  4. Step 4: Simplify right side
    38,177.25x = 1,128,094,618.02
  5. Step 5: Solve for x
    x = 1,128,094,618.02/38,177.25
  6. Step 6: Final answer
    x = 29,548.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.