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Finding the Fourth Proportional to 84,320.38, 116,369.49 and 46,601.92

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Solution

The fourth proportional to 84,320.38, 116,369.49 and 46,601.92 is: 64,314.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,320.38 : 116,369.49 = 46,601.92 : x
  2. Step 2: Convert to fraction form
    84,320.38/116,369.49 = 46,601.92/x
  3. Step 3: Cross multiply
    84,320.38x = 116,369.49 × 46,601.92
  4. Step 4: Simplify right side
    84,320.38x = 5,423,041,663.42
  5. Step 5: Solve for x
    x = 5,423,041,663.42/84,320.38
  6. Step 6: Final answer
    x = 64,314.72

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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.