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Finding the Fourth Proportional to 52,840, 72,919.20 and 30,484

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Solution

The fourth proportional to 52,840, 72,919.20 and 30,484 is: 42,067.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,840 : 72,919.20 = 30,484 : x
  2. Step 2: Convert to fraction form
    52,840/72,919.20 = 30,484/x
  3. Step 3: Cross multiply
    52,840x = 72,919.20 × 30,484
  4. Step 4: Simplify right side
    52,840x = 2,222,868,892.80
  5. Step 5: Solve for x
    x = 2,222,868,892.80/52,840
  6. Step 6: Final answer
    x = 42,067.92

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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.