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Finding the Fourth Proportional to 50,002.30, 74,902.65 and 31,224.70

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Solution

The fourth proportional to 50,002.30, 74,902.65 and 31,224.70 is: 46,774.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,002.30 : 74,902.65 = 31,224.70 : x
  2. Step 2: Convert to fraction form
    50,002.30/74,902.65 = 31,224.70/x
  3. Step 3: Cross multiply
    50,002.30x = 74,902.65 × 31,224.70
  4. Step 4: Simplify right side
    50,002.30x = 2,338,812,775.46
  5. Step 5: Solve for x
    x = 2,338,812,775.46/50,002.30
  6. Step 6: Final answer
    x = 46,774.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.