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Finding the Fourth Proportional to 82,898.73, 114,399.81 and 45,172.98

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Solution

The fourth proportional to 82,898.73, 114,399.81 and 45,172.98 is: 62,338.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,898.73 : 114,399.81 = 45,172.98 : x
  2. Step 2: Convert to fraction form
    82,898.73/114,399.81 = 45,172.98/x
  3. Step 3: Cross multiply
    82,898.73x = 114,399.81 × 45,172.98
  4. Step 4: Simplify right side
    82,898.73x = 5,167,780,329.13
  5. Step 5: Solve for x
    x = 5,167,780,329.13/82,898.73
  6. Step 6: Final answer
    x = 62,338.47

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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.