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Finding the Fourth Proportional to 30,647.77, 45,948.29 and 15,847.25

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Solution

The fourth proportional to 30,647.77, 45,948.29 and 15,847.25 is: 23,758.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,647.77 : 45,948.29 = 15,847.25 : x
  2. Step 2: Convert to fraction form
    30,647.77/45,948.29 = 15,847.25/x
  3. Step 3: Cross multiply
    30,647.77x = 45,948.29 × 15,847.25
  4. Step 4: Simplify right side
    30,647.77x = 728,153,729.72
  5. Step 5: Solve for x
    x = 728,153,729.72/30,647.77
  6. Step 6: Final answer
    x = 23,758.79

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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.