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Finding the Fourth Proportional to 84,657.72, 116,822.34 and 46,929

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Solution

The fourth proportional to 84,657.72, 116,822.34 and 46,929 is: 64,759.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,657.72 : 116,822.34 = 46,929 : x
  2. Step 2: Convert to fraction form
    84,657.72/116,822.34 = 46,929/x
  3. Step 3: Cross multiply
    84,657.72x = 116,822.34 × 46,929
  4. Step 4: Simplify right side
    84,657.72x = 5,482,355,593.86
  5. Step 5: Solve for x
    x = 5,482,355,593.86/84,657.72
  6. Step 6: Final answer
    x = 64,759.07

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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.