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Finding the Fourth Proportional to 84,632, 116,796.16 and 48,830.08

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Solution

The fourth proportional to 84,632, 116,796.16 and 48,830.08 is: 67,387.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,632 : 116,796.16 = 48,830.08 : x
  2. Step 2: Convert to fraction form
    84,632/116,796.16 = 48,830.08/x
  3. Step 3: Cross multiply
    84,632x = 116,796.16 × 48,830.08
  4. Step 4: Simplify right side
    84,632x = 5,703,165,836.49
  5. Step 5: Solve for x
    x = 5,703,165,836.49/84,632
  6. Step 6: Final answer
    x = 67,387.82

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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.