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Finding the Fourth Proportional to 30,574.59, 42,193.40 and 17,827.43

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Solution

The fourth proportional to 30,574.59, 42,193.40 and 17,827.43 is: 24,602.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,574.59 : 42,193.40 = 17,827.43 : x
  2. Step 2: Convert to fraction form
    30,574.59/42,193.40 = 17,827.43/x
  3. Step 3: Cross multiply
    30,574.59x = 42,193.40 × 17,827.43
  4. Step 4: Simplify right side
    30,574.59x = 752,199,584.86
  5. Step 5: Solve for x
    x = 752,199,584.86/30,574.59
  6. Step 6: Final answer
    x = 24,602.12

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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.