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Finding the Fourth Proportional to 30,868, 42,607.56 and 19,690

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Solution

The fourth proportional to 30,868, 42,607.56 and 19,690 is: 27,178.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,868 : 42,607.56 = 19,690 : x
  2. Step 2: Convert to fraction form
    30,868/42,607.56 = 19,690/x
  3. Step 3: Cross multiply
    30,868x = 42,607.56 × 19,690
  4. Step 4: Simplify right side
    30,868x = 838,942,856.40
  5. Step 5: Solve for x
    x = 838,942,856.40/30,868
  6. Step 6: Final answer
    x = 27,178.40

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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.