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Finding the Fourth Proportional to 84,416, 116,497.74 and 46,690.28

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Solution

The fourth proportional to 84,416, 116,497.74 and 46,690.28 is: 64,434.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,416 : 116,497.74 = 46,690.28 : x
  2. Step 2: Convert to fraction form
    84,416/116,497.74 = 46,690.28/x
  3. Step 3: Cross multiply
    84,416x = 116,497.74 × 46,690.28
  4. Step 4: Simplify right side
    84,416x = 5,439,312,099.97
  5. Step 5: Solve for x
    x = 5,439,312,099.97/84,416
  6. Step 6: Final answer
    x = 64,434.61

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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.