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Finding the Fourth Proportional to 30,712.95, 42,395.94 and 19,380.42

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Solution

The fourth proportional to 30,712.95, 42,395.94 and 19,380.42 is: 26,752.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,712.95 : 42,395.94 = 19,380.42 : x
  2. Step 2: Convert to fraction form
    30,712.95/42,395.94 = 19,380.42/x
  3. Step 3: Cross multiply
    30,712.95x = 42,395.94 × 19,380.42
  4. Step 4: Simplify right side
    30,712.95x = 821,651,123.49
  5. Step 5: Solve for x
    x = 821,651,123.49/30,712.95
  6. Step 6: Final answer
    x = 26,752.60

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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.