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Finding the Fourth Proportional to 83,510.26, 115,244.02 and 45,786.94

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Solution

The fourth proportional to 83,510.26, 115,244.02 and 45,786.94 is: 63,185.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,510.26 : 115,244.02 = 45,786.94 : x
  2. Step 2: Convert to fraction form
    83,510.26/115,244.02 = 45,786.94/x
  3. Step 3: Cross multiply
    83,510.26x = 115,244.02 × 45,786.94
  4. Step 4: Simplify right side
    83,510.26x = 5,276,671,029.10
  5. Step 5: Solve for x
    x = 5,276,671,029.10/83,510.26
  6. Step 6: Final answer
    x = 63,185.90

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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.