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Finding the Fourth Proportional to 30,793.61, 42,495.17 and 16,646.48

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Solution

The fourth proportional to 30,793.61, 42,495.17 and 16,646.48 is: 22,972.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,793.61 : 42,495.17 = 16,646.48 : x
  2. Step 2: Convert to fraction form
    30,793.61/42,495.17 = 16,646.48/x
  3. Step 3: Cross multiply
    30,793.61x = 42,495.17 × 16,646.48
  4. Step 4: Simplify right side
    30,793.61x = 707,394,914.27
  5. Step 5: Solve for x
    x = 707,394,914.27/30,793.61
  6. Step 6: Final answer
    x = 22,972.13

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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.