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Finding the Fourth Proportional to 86,837.50, 130,256.25 and 24,508

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Solution

The fourth proportional to 86,837.50, 130,256.25 and 24,508 is: 36,762

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,837.50 : 130,256.25 = 24,508 : x
  2. Step 2: Convert to fraction form
    86,837.50/130,256.25 = 24,508/x
  3. Step 3: Cross multiply
    86,837.50x = 130,256.25 × 24,508
  4. Step 4: Simplify right side
    86,837.50x = 3,192,320,175
  5. Step 5: Solve for x
    x = 3,192,320,175/86,837.50
  6. Step 6: Final answer
    x = 36,762

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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.