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Finding the Fourth Proportional to 34,356.33, 51,536.05 and 9,395.82

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Solution

The fourth proportional to 34,356.33, 51,536.05 and 9,395.82 is: 14,094.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,356.33 : 51,536.05 = 9,395.82 : x
  2. Step 2: Convert to fraction form
    34,356.33/51,536.05 = 9,395.82/x
  3. Step 3: Cross multiply
    34,356.33x = 51,536.05 × 9,395.82
  4. Step 4: Simplify right side
    34,356.33x = 484,223,570.77
  5. Step 5: Solve for x
    x = 484,223,570.77/34,356.33
  6. Step 6: Final answer
    x = 14,094.16

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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.