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Finding the Fourth Proportional to 52,880, 72,974.40 and 30,524

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Solution

The fourth proportional to 52,880, 72,974.40 and 30,524 is: 42,123.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,880 : 72,974.40 = 30,524 : x
  2. Step 2: Convert to fraction form
    52,880/72,974.40 = 30,524/x
  3. Step 3: Cross multiply
    52,880x = 72,974.40 × 30,524
  4. Step 4: Simplify right side
    52,880x = 2,227,470,585.60
  5. Step 5: Solve for x
    x = 2,227,470,585.60/52,880
  6. Step 6: Final answer
    x = 42,123.12

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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.