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Finding the Fourth Proportional to 30,774, 42,468.12 and 19,602.48

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Solution

The fourth proportional to 30,774, 42,468.12 and 19,602.48 is: 27,051.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,774 : 42,468.12 = 19,602.48 : x
  2. Step 2: Convert to fraction form
    30,774/42,468.12 = 19,602.48/x
  3. Step 3: Cross multiply
    30,774x = 42,468.12 × 19,602.48
  4. Step 4: Simplify right side
    30,774x = 832,480,472.94
  5. Step 5: Solve for x
    x = 832,480,472.94/30,774
  6. Step 6: Final answer
    x = 27,051.42

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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.