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Finding the Fourth Proportional to 30,626, 42,267.12 and 19,448

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Solution

The fourth proportional to 30,626, 42,267.12 and 19,448 is: 26,840.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,626 : 42,267.12 = 19,448 : x
  2. Step 2: Convert to fraction form
    30,626/42,267.12 = 19,448/x
  3. Step 3: Cross multiply
    30,626x = 42,267.12 × 19,448
  4. Step 4: Simplify right side
    30,626x = 822,010,949.76
  5. Step 5: Solve for x
    x = 822,010,949.76/30,626
  6. Step 6: Final answer
    x = 26,840.30

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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.