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Finding the Fourth Proportional to 30,793.26, 42,494.63 and 16,646.07

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Solution

The fourth proportional to 30,793.26, 42,494.63 and 16,646.07 is: 22,971.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,793.26 : 42,494.63 = 16,646.07 : x
  2. Step 2: Convert to fraction form
    30,793.26/42,494.63 = 16,646.07/x
  3. Step 3: Cross multiply
    30,793.26x = 42,494.63 × 16,646.07
  4. Step 4: Simplify right side
    30,793.26x = 707,368,502.37
  5. Step 5: Solve for x
    x = 707,368,502.37/30,793.26
  6. Step 6: Final answer
    x = 22,971.54

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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.