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Finding the Fourth Proportional to 30,874.58, 42,607.05 and 16,727.43

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Solution

The fourth proportional to 30,874.58, 42,607.05 and 16,727.43 is: 23,083.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,874.58 : 42,607.05 = 16,727.43 : x
  2. Step 2: Convert to fraction form
    30,874.58/42,607.05 = 16,727.43/x
  3. Step 3: Cross multiply
    30,874.58x = 42,607.05 × 16,727.43
  4. Step 4: Simplify right side
    30,874.58x = 712,706,446.38
  5. Step 5: Solve for x
    x = 712,706,446.38/30,874.58
  6. Step 6: Final answer
    x = 23,083.93

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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.