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Finding the Fourth Proportional to 84,502.95, 116,651.75 and 55,840.49

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Solution

The fourth proportional to 84,502.95, 116,651.75 and 55,840.49 is: 77,084.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,502.95 : 116,651.75 = 55,840.49 : x
  2. Step 2: Convert to fraction form
    84,502.95/116,651.75 = 55,840.49/x
  3. Step 3: Cross multiply
    84,502.95x = 116,651.75 × 55,840.49
  4. Step 4: Simplify right side
    84,502.95x = 6,513,890,879.36
  5. Step 5: Solve for x
    x = 6,513,890,879.36/84,502.95
  6. Step 6: Final answer
    x = 77,084.77

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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.