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Finding the Fourth Proportional to 29,582.40, 44,375.72 and 9,317.40

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Solution

The fourth proportional to 29,582.40, 44,375.72 and 9,317.40 is: 13,976.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,582.40 : 44,375.72 = 9,317.40 : x
  2. Step 2: Convert to fraction form
    29,582.40/44,375.72 = 9,317.40/x
  3. Step 3: Cross multiply
    29,582.40x = 44,375.72 × 9,317.40
  4. Step 4: Simplify right side
    29,582.40x = 413,466,333.53
  5. Step 5: Solve for x
    x = 413,466,333.53/29,582.40
  6. Step 6: Final answer
    x = 13,976.77

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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.