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Finding the Fourth Proportional to 30,839, 42,557.94 and 16,691.84

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Solution

The fourth proportional to 30,839, 42,557.94 and 16,691.84 is: 23,034.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,839 : 42,557.94 = 16,691.84 : x
  2. Step 2: Convert to fraction form
    30,839/42,557.94 = 16,691.84/x
  3. Step 3: Cross multiply
    30,839x = 42,557.94 × 16,691.84
  4. Step 4: Simplify right side
    30,839x = 710,370,325.21
  5. Step 5: Solve for x
    x = 710,370,325.21/30,839
  6. Step 6: Final answer
    x = 23,034.80

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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.