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Finding the Fourth Proportional to 29,959.73, 44,941.29 and 7,772.52

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Solution

The fourth proportional to 29,959.73, 44,941.29 and 7,772.52 is: 11,659.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,959.73 : 44,941.29 = 7,772.52 : x
  2. Step 2: Convert to fraction form
    29,959.73/44,941.29 = 7,772.52/x
  3. Step 3: Cross multiply
    29,959.73x = 44,941.29 × 7,772.52
  4. Step 4: Simplify right side
    29,959.73x = 349,307,075.35
  5. Step 5: Solve for x
    x = 349,307,075.35/29,959.73
  6. Step 6: Final answer
    x = 11,659.22

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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.