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Finding the Fourth Proportional to 30,774.87, 42,479.71 and 19,142.15

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Solution

The fourth proportional to 30,774.87, 42,479.71 and 19,142.15 is: 26,422.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,774.87 : 42,479.71 = 19,142.15 : x
  2. Step 2: Convert to fraction form
    30,774.87/42,479.71 = 19,142.15/x
  3. Step 3: Cross multiply
    30,774.87x = 42,479.71 × 19,142.15
  4. Step 4: Simplify right side
    30,774.87x = 813,152,720.52
  5. Step 5: Solve for x
    x = 813,152,720.52/30,774.87
  6. Step 6: Final answer
    x = 26,422.62

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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.