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Finding the Fourth Proportional to 30,574.53, 42,193.04 and 17,835.12

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Solution

The fourth proportional to 30,574.53, 42,193.04 and 17,835.12 is: 24,612.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,574.53 : 42,193.04 = 17,835.12 : x
  2. Step 2: Convert to fraction form
    30,574.53/42,193.04 = 17,835.12/x
  3. Step 3: Cross multiply
    30,574.53x = 42,193.04 × 17,835.12
  4. Step 4: Simplify right side
    30,574.53x = 752,517,842.39
  5. Step 5: Solve for x
    x = 752,517,842.39/30,574.53
  6. Step 6: Final answer
    x = 24,612.57

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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.