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Finding the Fourth Proportional to 30,575.34, 42,195.92 and 16,963.92

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Solution

The fourth proportional to 30,575.34, 42,195.92 and 16,963.92 is: 23,411.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,575.34 : 42,195.92 = 16,963.92 : x
  2. Step 2: Convert to fraction form
    30,575.34/42,195.92 = 16,963.92/x
  3. Step 3: Cross multiply
    30,575.34x = 42,195.92 × 16,963.92
  4. Step 4: Simplify right side
    30,575.34x = 715,808,126.39
  5. Step 5: Solve for x
    x = 715,808,126.39/30,575.34
  6. Step 6: Final answer
    x = 23,411.29

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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.