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Finding the Fourth Proportional to 30,894.41, 42,634.24 and 16,747.25

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Solution

The fourth proportional to 30,894.41, 42,634.24 and 16,747.25 is: 23,111.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,894.41 : 42,634.24 = 16,747.25 : x
  2. Step 2: Convert to fraction form
    30,894.41/42,634.24 = 16,747.25/x
  3. Step 3: Cross multiply
    30,894.41x = 42,634.24 × 16,747.25
  4. Step 4: Simplify right side
    30,894.41x = 714,006,275.84
  5. Step 5: Solve for x
    x = 714,006,275.84/30,894.41
  6. Step 6: Final answer
    x = 23,111.18

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1.5x scale

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.