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Finding the Fourth Proportional to 83,203.61, 114,821.04 and 45,477.86

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Solution

The fourth proportional to 83,203.61, 114,821.04 and 45,477.86 is: 62,759.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,203.61 : 114,821.04 = 45,477.86 : x
  2. Step 2: Convert to fraction form
    83,203.61/114,821.04 = 45,477.86/x
  3. Step 3: Cross multiply
    83,203.61x = 114,821.04 × 45,477.86
  4. Step 4: Simplify right side
    83,203.61x = 5,221,814,380.68
  5. Step 5: Solve for x
    x = 5,221,814,380.68/83,203.61
  6. Step 6: Final answer
    x = 62,759.47

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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.