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Finding the Fourth Proportional to 30,793.66, 42,495.25 and 16,646.50

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Solution

The fourth proportional to 30,793.66, 42,495.25 and 16,646.50 is: 22,972.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,793.66 : 42,495.25 = 16,646.50 : x
  2. Step 2: Convert to fraction form
    30,793.66/42,495.25 = 16,646.50/x
  3. Step 3: Cross multiply
    30,793.66x = 42,495.25 × 16,646.50
  4. Step 4: Simplify right side
    30,793.66x = 707,397,179.13
  5. Step 5: Solve for x
    x = 707,397,179.13/30,793.66
  6. Step 6: Final answer
    x = 22,972.17

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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.