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Finding the Fourth Proportional to 84,472.89, 116,572.64 and 46,232.48

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Solution

The fourth proportional to 84,472.89, 116,572.64 and 46,232.48 is: 63,800.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,472.89 : 116,572.64 = 46,232.48 : x
  2. Step 2: Convert to fraction form
    84,472.89/116,572.64 = 46,232.48/x
  3. Step 3: Cross multiply
    84,472.89x = 116,572.64 × 46,232.48
  4. Step 4: Simplify right side
    84,472.89x = 5,389,442,247.35
  5. Step 5: Solve for x
    x = 5,389,442,247.35/84,472.89
  6. Step 6: Final answer
    x = 63,800.85

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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.