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Finding the Fourth Proportional to 59,584.88, 89,388.84 and 22,646

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Solution

The fourth proportional to 59,584.88, 89,388.84 and 22,646 is: 33,973.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,584.88 : 89,388.84 = 22,646 : x
  2. Step 2: Convert to fraction form
    59,584.88/89,388.84 = 22,646/x
  3. Step 3: Cross multiply
    59,584.88x = 89,388.84 × 22,646
  4. Step 4: Simplify right side
    59,584.88x = 2,024,299,670.64
  5. Step 5: Solve for x
    x = 2,024,299,670.64/59,584.88
  6. Step 6: Final answer
    x = 33,973.38

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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.