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Finding the Fourth Proportional to 82,852.80, 124,298.48 and 23,689.28

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Solution

The fourth proportional to 82,852.80, 124,298.48 and 23,689.28 is: 35,539.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,852.80 : 124,298.48 = 23,689.28 : x
  2. Step 2: Convert to fraction form
    82,852.80/124,298.48 = 23,689.28/x
  3. Step 3: Cross multiply
    82,852.80x = 124,298.48 × 23,689.28
  4. Step 4: Simplify right side
    82,852.80x = 2,944,541,496.29
  5. Step 5: Solve for x
    x = 2,944,541,496.29/82,852.80
  6. Step 6: Final answer
    x = 35,539.43

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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.