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Finding the Fourth Proportional to 83,828.98, 115,663.75 and 53,190.91

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Solution

The fourth proportional to 83,828.98, 115,663.75 and 53,190.91 is: 73,390.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,828.98 : 115,663.75 = 53,190.91 : x
  2. Step 2: Convert to fraction form
    83,828.98/115,663.75 = 53,190.91/x
  3. Step 3: Cross multiply
    83,828.98x = 115,663.75 × 53,190.91
  4. Step 4: Simplify right side
    83,828.98x = 6,152,259,694.38
  5. Step 5: Solve for x
    x = 6,152,259,694.38/83,828.98
  6. Step 6: Final answer
    x = 73,390.60

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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.