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Finding the Fourth Proportional to 30,902.32, 42,629.50 and 19,552.68

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Solution

The fourth proportional to 30,902.32, 42,629.50 and 19,552.68 is: 26,972.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,902.32 : 42,629.50 = 19,552.68 : x
  2. Step 2: Convert to fraction form
    30,902.32/42,629.50 = 19,552.68/x
  3. Step 3: Cross multiply
    30,902.32x = 42,629.50 × 19,552.68
  4. Step 4: Simplify right side
    30,902.32x = 833,520,972.06
  5. Step 5: Solve for x
    x = 833,520,972.06/30,902.32
  6. Step 6: Final answer
    x = 26,972.76

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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.