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Finding the Fourth Proportional to 73,114.50, 109,706.60 and 39,833.82

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Solution

The fourth proportional to 73,114.50, 109,706.60 and 39,833.82 is: 59,769.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,114.50 : 109,706.60 = 39,833.82 : x
  2. Step 2: Convert to fraction form
    73,114.50/109,706.60 = 39,833.82/x
  3. Step 3: Cross multiply
    73,114.50x = 109,706.60 × 39,833.82
  4. Step 4: Simplify right side
    73,114.50x = 4,370,032,957.21
  5. Step 5: Solve for x
    x = 4,370,032,957.21/73,114.50
  6. Step 6: Final answer
    x = 59,769.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.