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Finding the Fourth Proportional to 40,828.04, 61,245.90 and 15,870

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Solution

The fourth proportional to 40,828.04, 61,245.90 and 15,870 is: 23,806.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,828.04 : 61,245.90 = 15,870 : x
  2. Step 2: Convert to fraction form
    40,828.04/61,245.90 = 15,870/x
  3. Step 3: Cross multiply
    40,828.04x = 61,245.90 × 15,870
  4. Step 4: Simplify right side
    40,828.04x = 971,972,433
  5. Step 5: Solve for x
    x = 971,972,433/40,828.04
  6. Step 6: Final answer
    x = 23,806.49

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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.