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Finding the Fourth Proportional to 66,083.94, 99,045.27 and 30,976.74

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Solution

The fourth proportional to 66,083.94, 99,045.27 and 30,976.74 is: 46,427.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,083.94 : 99,045.27 = 30,976.74 : x
  2. Step 2: Convert to fraction form
    66,083.94/99,045.27 = 30,976.74/x
  3. Step 3: Cross multiply
    66,083.94x = 99,045.27 × 30,976.74
  4. Step 4: Simplify right side
    66,083.94x = 3,068,099,577.02
  5. Step 5: Solve for x
    x = 3,068,099,577.02/66,083.94
  6. Step 6: Final answer
    x = 46,427.31

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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.