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Finding the Fourth Proportional to 29,772.66, 44,657.93 and 7,585.85

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Solution

The fourth proportional to 29,772.66, 44,657.93 and 7,585.85 is: 11,378.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,772.66 : 44,657.93 = 7,585.85 : x
  2. Step 2: Convert to fraction form
    29,772.66/44,657.93 = 7,585.85/x
  3. Step 3: Cross multiply
    29,772.66x = 44,657.93 × 7,585.85
  4. Step 4: Simplify right side
    29,772.66x = 338,768,488.90
  5. Step 5: Solve for x
    x = 338,768,488.90/29,772.66
  6. Step 6: Final answer
    x = 11,378.51

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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.