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Finding the Fourth Proportional to 83,317.38, 114,985.08 and 47,497.56

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Solution

The fourth proportional to 83,317.38, 114,985.08 and 47,497.56 is: 65,550.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,317.38 : 114,985.08 = 47,497.56 : x
  2. Step 2: Convert to fraction form
    83,317.38/114,985.08 = 47,497.56/x
  3. Step 3: Cross multiply
    83,317.38x = 114,985.08 × 47,497.56
  4. Step 4: Simplify right side
    83,317.38x = 5,461,510,736.40
  5. Step 5: Solve for x
    x = 5,461,510,736.40/83,317.38
  6. Step 6: Final answer
    x = 65,550.68

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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.