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Finding the Fourth Proportional to 35,959.74, 53,932.31 and 9,664.71

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Solution

The fourth proportional to 35,959.74, 53,932.31 and 9,664.71 is: 14,495.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,959.74 : 53,932.31 = 9,664.71 : x
  2. Step 2: Convert to fraction form
    35,959.74/53,932.31 = 9,664.71/x
  3. Step 3: Cross multiply
    35,959.74x = 53,932.31 × 9,664.71
  4. Step 4: Simplify right side
    35,959.74x = 521,240,135.78
  5. Step 5: Solve for x
    x = 521,240,135.78/35,959.74
  6. Step 6: Final answer
    x = 14,495.10

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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.