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Finding the Fourth Proportional to 83,226.51, 114,820.29 and 53,006.43

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Solution

The fourth proportional to 83,226.51, 114,820.29 and 53,006.43 is: 73,128.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,226.51 : 114,820.29 = 53,006.43 : x
  2. Step 2: Convert to fraction form
    83,226.51/114,820.29 = 53,006.43/x
  3. Step 3: Cross multiply
    83,226.51x = 114,820.29 × 53,006.43
  4. Step 4: Simplify right side
    83,226.51x = 6,086,213,664.46
  5. Step 5: Solve for x
    x = 6,086,213,664.46/83,226.51
  6. Step 6: Final answer
    x = 73,128.31

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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.