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Finding the Fourth Proportional to 29,643.90, 44,468.19 and 9,922.55

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Solution

The fourth proportional to 29,643.90, 44,468.19 and 9,922.55 is: 14,884.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,643.90 : 44,468.19 = 9,922.55 : x
  2. Step 2: Convert to fraction form
    29,643.90/44,468.19 = 9,922.55/x
  3. Step 3: Cross multiply
    29,643.90x = 44,468.19 × 9,922.55
  4. Step 4: Simplify right side
    29,643.90x = 441,237,616.34
  5. Step 5: Solve for x
    x = 441,237,616.34/29,643.90
  6. Step 6: Final answer
    x = 14,884.60

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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.