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Finding the Fourth Proportional to 66,143.94, 99,084.69 and 30,976.98

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Solution

The fourth proportional to 66,143.94, 99,084.69 and 30,976.98 is: 46,404.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,143.94 : 99,084.69 = 30,976.98 : x
  2. Step 2: Convert to fraction form
    66,143.94/99,084.69 = 30,976.98/x
  3. Step 3: Cross multiply
    66,143.94x = 99,084.69 × 30,976.98
  4. Step 4: Simplify right side
    66,143.94x = 3,069,344,460.44
  5. Step 5: Solve for x
    x = 3,069,344,460.44/66,143.94
  6. Step 6: Final answer
    x = 46,404.02

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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.