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Finding the Fourth Proportional to 84,064.11, 116,009.24 and 46,339.71

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Solution

The fourth proportional to 84,064.11, 116,009.24 and 46,339.71 is: 63,949.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,064.11 : 116,009.24 = 46,339.71 : x
  2. Step 2: Convert to fraction form
    84,064.11/116,009.24 = 46,339.71/x
  3. Step 3: Cross multiply
    84,064.11x = 116,009.24 × 46,339.71
  4. Step 4: Simplify right side
    84,064.11x = 5,375,834,538.92
  5. Step 5: Solve for x
    x = 5,375,834,538.92/84,064.11
  6. Step 6: Final answer
    x = 63,949.22

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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.