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Finding the Fourth Proportional to 30,574.32, 42,174.69 and 19,225.85

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Solution

The fourth proportional to 30,574.32, 42,174.69 and 19,225.85 is: 26,520.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,574.32 : 42,174.69 = 19,225.85 : x
  2. Step 2: Convert to fraction form
    30,574.32/42,174.69 = 19,225.85/x
  3. Step 3: Cross multiply
    30,574.32x = 42,174.69 × 19,225.85
  4. Step 4: Simplify right side
    30,574.32x = 810,844,263.74
  5. Step 5: Solve for x
    x = 810,844,263.74/30,574.32
  6. Step 6: Final answer
    x = 26,520.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.