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Finding the Fourth Proportional to 82,701, 114,127.38 and 44,976.06

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Solution

The fourth proportional to 82,701, 114,127.38 and 44,976.06 is: 62,066.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,701 : 114,127.38 = 44,976.06 : x
  2. Step 2: Convert to fraction form
    82,701/114,127.38 = 44,976.06/x
  3. Step 3: Cross multiply
    82,701x = 114,127.38 × 44,976.06
  4. Step 4: Simplify right side
    82,701x = 5,132,999,890.52
  5. Step 5: Solve for x
    x = 5,132,999,890.52/82,701
  6. Step 6: Final answer
    x = 62,066.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.