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Finding the Fourth Proportional to 58,634.50, 87,951.75 and 25,802.50

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Solution

The fourth proportional to 58,634.50, 87,951.75 and 25,802.50 is: 38,703.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,634.50 : 87,951.75 = 25,802.50 : x
  2. Step 2: Convert to fraction form
    58,634.50/87,951.75 = 25,802.50/x
  3. Step 3: Cross multiply
    58,634.50x = 87,951.75 × 25,802.50
  4. Step 4: Simplify right side
    58,634.50x = 2,269,375,029.38
  5. Step 5: Solve for x
    x = 2,269,375,029.38/58,634.50
  6. Step 6: Final answer
    x = 38,703.75

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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.