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Finding the Fourth Proportional to 38,642.87, 53,274.80 and 33,037.83

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Solution

The fourth proportional to 38,642.87, 53,274.80 and 33,037.83 is: 45,547.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,642.87 : 53,274.80 = 33,037.83 : x
  2. Step 2: Convert to fraction form
    38,642.87/53,274.80 = 33,037.83/x
  3. Step 3: Cross multiply
    38,642.87x = 53,274.80 × 33,037.83
  4. Step 4: Simplify right side
    38,642.87x = 1,760,083,868.28
  5. Step 5: Solve for x
    x = 1,760,083,868.28/38,642.87
  6. Step 6: Final answer
    x = 45,547.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.