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Finding the Fourth Proportional to 82,655.52, 113,959.02 and 53,532.43

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Solution

The fourth proportional to 82,655.52, 113,959.02 and 53,532.43 is: 73,806.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,655.52 : 113,959.02 = 53,532.43 : x
  2. Step 2: Convert to fraction form
    82,655.52/113,959.02 = 53,532.43/x
  3. Step 3: Cross multiply
    82,655.52x = 113,959.02 × 53,532.43
  4. Step 4: Simplify right side
    82,655.52x = 6,100,502,725.19
  5. Step 5: Solve for x
    x = 6,100,502,725.19/82,655.52
  6. Step 6: Final answer
    x = 73,806.36

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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.