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Finding the Fourth Proportional to 35,414.70, 48,871.53 and 19,498.74

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Solution

The fourth proportional to 35,414.70, 48,871.53 and 19,498.74 is: 26,907.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,414.70 : 48,871.53 = 19,498.74 : x
  2. Step 2: Convert to fraction form
    35,414.70/48,871.53 = 19,498.74/x
  3. Step 3: Cross multiply
    35,414.70x = 48,871.53 × 19,498.74
  4. Step 4: Simplify right side
    35,414.70x = 952,933,256.87
  5. Step 5: Solve for x
    x = 952,933,256.87/35,414.70
  6. Step 6: Final answer
    x = 26,907.84

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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.