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Finding the Fourth Proportional to 84,348, 116,400.38 and 46,622.25

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Solution

The fourth proportional to 84,348, 116,400.38 and 46,622.25 is: 64,338.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,348 : 116,400.38 = 46,622.25 : x
  2. Step 2: Convert to fraction form
    84,348/116,400.38 = 46,622.25/x
  3. Step 3: Cross multiply
    84,348x = 116,400.38 × 46,622.25
  4. Step 4: Simplify right side
    84,348x = 5,426,847,383.34
  5. Step 5: Solve for x
    x = 5,426,847,383.34/84,348
  6. Step 6: Final answer
    x = 64,338.78

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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.