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Finding the Fourth Proportional to 84,411.93, 116,502.81 and 48,622.68

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Solution

The fourth proportional to 84,411.93, 116,502.81 and 48,622.68 is: 67,107.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,411.93 : 116,502.81 = 48,622.68 : x
  2. Step 2: Convert to fraction form
    84,411.93/116,502.81 = 48,622.68/x
  3. Step 3: Cross multiply
    84,411.93x = 116,502.81 × 48,622.68
  4. Step 4: Simplify right side
    84,411.93x = 5,664,678,849.73
  5. Step 5: Solve for x
    x = 5,664,678,849.73/84,411.93
  6. Step 6: Final answer
    x = 67,107.56

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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.