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Finding the Fourth Proportional to 84,598, 126,876.21 and 37,225

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Solution

The fourth proportional to 84,598, 126,876.21 and 37,225 is: 55,828.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,598 : 126,876.21 = 37,225 : x
  2. Step 2: Convert to fraction form
    84,598/126,876.21 = 37,225/x
  3. Step 3: Cross multiply
    84,598x = 126,876.21 × 37,225
  4. Step 4: Simplify right side
    84,598x = 4,722,966,917.25
  5. Step 5: Solve for x
    x = 4,722,966,917.25/84,598
  6. Step 6: Final answer
    x = 55,828.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.