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Finding the Fourth Proportional to 73,234.80, 109,706.40 and 42,033.60

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Solution

The fourth proportional to 73,234.80, 109,706.40 and 42,033.60 is: 62,966.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,234.80 : 109,706.40 = 42,033.60 : x
  2. Step 2: Convert to fraction form
    73,234.80/109,706.40 = 42,033.60/x
  3. Step 3: Cross multiply
    73,234.80x = 109,706.40 × 42,033.60
  4. Step 4: Simplify right side
    73,234.80x = 4,611,354,935.04
  5. Step 5: Solve for x
    x = 4,611,354,935.04/73,234.80
  6. Step 6: Final answer
    x = 62,966.72

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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.