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Finding the Fourth Proportional to 83,083.52, 114,654.65 and 45,357.77

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Solution

The fourth proportional to 83,083.52, 114,654.65 and 45,357.77 is: 62,593.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,083.52 : 114,654.65 = 45,357.77 : x
  2. Step 2: Convert to fraction form
    83,083.52/114,654.65 = 45,357.77/x
  3. Step 3: Cross multiply
    83,083.52x = 114,654.65 × 45,357.77
  4. Step 4: Simplify right side
    83,083.52x = 5,200,478,444.07
  5. Step 5: Solve for x
    x = 5,200,478,444.07/83,083.52
  6. Step 6: Final answer
    x = 62,593.39

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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.