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Finding the Fourth Proportional to 48,343.50, 72,517.21 and 23,030

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Solution

The fourth proportional to 48,343.50, 72,517.21 and 23,030 is: 34,545.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,343.50 : 72,517.21 = 23,030 : x
  2. Step 2: Convert to fraction form
    48,343.50/72,517.21 = 23,030/x
  3. Step 3: Cross multiply
    48,343.50x = 72,517.21 × 23,030
  4. Step 4: Simplify right side
    48,343.50x = 1,670,071,346.30
  5. Step 5: Solve for x
    x = 1,670,071,346.30/48,343.50
  6. Step 6: Final answer
    x = 34,545.93

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Why These Related Problems?

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