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Finding the Fourth Proportional to 30,874.63, 42,607.02 and 16,727.47

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Solution

The fourth proportional to 30,874.63, 42,607.02 and 16,727.47 is: 23,083.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,874.63 : 42,607.02 = 16,727.47 : x
  2. Step 2: Convert to fraction form
    30,874.63/42,607.02 = 16,727.47/x
  3. Step 3: Cross multiply
    30,874.63x = 42,607.02 × 16,727.47
  4. Step 4: Simplify right side
    30,874.63x = 712,707,584.14
  5. Step 5: Solve for x
    x = 712,707,584.14/30,874.63
  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.