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Finding the Fourth Proportional to 82,461.81, 123,700.81 and 23,297.94

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Solution

The fourth proportional to 82,461.81, 123,700.81 and 23,297.94 is: 34,949.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,461.81 : 123,700.81 = 23,297.94 : x
  2. Step 2: Convert to fraction form
    82,461.81/123,700.81 = 23,297.94/x
  3. Step 3: Cross multiply
    82,461.81x = 123,700.81 × 23,297.94
  4. Step 4: Simplify right side
    82,461.81x = 2,881,973,372.58
  5. Step 5: Solve for x
    x = 2,881,973,372.58/82,461.81
  6. Step 6: Final answer
    x = 34,949.19

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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.