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Finding the Fourth Proportional to 84,398.75, 116,465.56 and 46,150.70

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Solution

The fourth proportional to 84,398.75, 116,465.56 and 46,150.70 is: 63,685.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,398.75 : 116,465.56 = 46,150.70 : x
  2. Step 2: Convert to fraction form
    84,398.75/116,465.56 = 46,150.70/x
  3. Step 3: Cross multiply
    84,398.75x = 116,465.56 × 46,150.70
  4. Step 4: Simplify right side
    84,398.75x = 5,374,967,119.89
  5. Step 5: Solve for x
    x = 5,374,967,119.89/84,398.75
  6. Step 6: Final answer
    x = 63,685.39

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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.