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Finding the Fourth Proportional to 65,975.82, 98,963.94 and 16,055.94

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Solution

The fourth proportional to 65,975.82, 98,963.94 and 16,055.94 is: 24,083.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,975.82 : 98,963.94 = 16,055.94 : x
  2. Step 2: Convert to fraction form
    65,975.82/98,963.94 = 16,055.94/x
  3. Step 3: Cross multiply
    65,975.82x = 98,963.94 × 16,055.94
  4. Step 4: Simplify right side
    65,975.82x = 1,588,959,082.80
  5. Step 5: Solve for x
    x = 1,588,959,082.80/65,975.82
  6. Step 6: Final answer
    x = 24,083.96

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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.