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Finding the Fourth Proportional to 57,498.48, 86,229 and 22,450.32

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Solution

The fourth proportional to 57,498.48, 86,229 and 22,450.32 is: 33,668.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,498.48 : 86,229 = 22,450.32 : x
  2. Step 2: Convert to fraction form
    57,498.48/86,229 = 22,450.32/x
  3. Step 3: Cross multiply
    57,498.48x = 86,229 × 22,450.32
  4. Step 4: Simplify right side
    57,498.48x = 1,935,868,643.28
  5. Step 5: Solve for x
    x = 1,935,868,643.28/57,498.48
  6. Step 6: Final answer
    x = 33,668.17

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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.