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Finding the Fourth Proportional to 38,124, 52,629.36 and 25,398.50

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Solution

The fourth proportional to 38,124, 52,629.36 and 25,398.50 is: 35,062.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,124 : 52,629.36 = 25,398.50 : x
  2. Step 2: Convert to fraction form
    38,124/52,629.36 = 25,398.50/x
  3. Step 3: Cross multiply
    38,124x = 52,629.36 × 25,398.50
  4. Step 4: Simplify right side
    38,124x = 1,336,706,799.96
  5. Step 5: Solve for x
    x = 1,336,706,799.96/38,124
  6. Step 6: Final answer
    x = 35,062.08

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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.