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Finding the Fourth Proportional to 81,833.80, 112,913.71 and 47,835.71

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Solution

The fourth proportional to 81,833.80, 112,913.71 and 47,835.71 is: 66,003.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,833.80 : 112,913.71 = 47,835.71 : x
  2. Step 2: Convert to fraction form
    81,833.80/112,913.71 = 47,835.71/x
  3. Step 3: Cross multiply
    81,833.80x = 112,913.71 × 47,835.71
  4. Step 4: Simplify right side
    81,833.80x = 5,401,307,995.53
  5. Step 5: Solve for x
    x = 5,401,307,995.53/81,833.80
  6. Step 6: Final answer
    x = 66,003.39

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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.