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Finding the Fourth Proportional to 30,442.91, 42,037.94 and 19,132

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Solution

The fourth proportional to 30,442.91, 42,037.94 and 19,132 is: 26,418.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,442.91 : 42,037.94 = 19,132 : x
  2. Step 2: Convert to fraction form
    30,442.91/42,037.94 = 19,132/x
  3. Step 3: Cross multiply
    30,442.91x = 42,037.94 × 19,132
  4. Step 4: Simplify right side
    30,442.91x = 804,269,868.08
  5. Step 5: Solve for x
    x = 804,269,868.08/30,442.91
  6. Step 6: Final answer
    x = 26,418.95

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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.