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Finding the Fourth Proportional to 84,076, 116,022 and 46,348

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Solution

The fourth proportional to 84,076, 116,022 and 46,348 is: 63,958.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,076 : 116,022 = 46,348 : x
  2. Step 2: Convert to fraction form
    84,076/116,022 = 46,348/x
  3. Step 3: Cross multiply
    84,076x = 116,022 × 46,348
  4. Step 4: Simplify right side
    84,076x = 5,377,387,656
  5. Step 5: Solve for x
    x = 5,377,387,656/84,076
  6. Step 6: Final answer
    x = 63,958.65

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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.