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Finding the Fourth Proportional to 56,649.84, 84,972.84 and 21,588.24

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Solution

The fourth proportional to 56,649.84, 84,972.84 and 21,588.24 is: 32,381.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,649.84 : 84,972.84 = 21,588.24 : x
  2. Step 2: Convert to fraction form
    56,649.84/84,972.84 = 21,588.24/x
  3. Step 3: Cross multiply
    56,649.84x = 84,972.84 × 21,588.24
  4. Step 4: Simplify right side
    56,649.84x = 1,834,414,063.40
  5. Step 5: Solve for x
    x = 1,834,414,063.40/56,649.84
  6. Step 6: Final answer
    x = 32,381.63

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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.