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Finding the Fourth Proportional to 42,395.75, 63,594.84 and 11,231

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Solution

The fourth proportional to 42,395.75, 63,594.84 and 11,231 is: 16,846.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,395.75 : 63,594.84 = 11,231 : x
  2. Step 2: Convert to fraction form
    42,395.75/63,594.84 = 11,231/x
  3. Step 3: Cross multiply
    42,395.75x = 63,594.84 × 11,231
  4. Step 4: Simplify right side
    42,395.75x = 714,233,648.04
  5. Step 5: Solve for x
    x = 714,233,648.04/42,395.75
  6. Step 6: Final answer
    x = 16,846.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.