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Finding the Fourth Proportional to 92,425.68, 138,638.58 and 22,305

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Solution

The fourth proportional to 92,425.68, 138,638.58 and 22,305 is: 33,457.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,425.68 : 138,638.58 = 22,305 : x
  2. Step 2: Convert to fraction form
    92,425.68/138,638.58 = 22,305/x
  3. Step 3: Cross multiply
    92,425.68x = 138,638.58 × 22,305
  4. Step 4: Simplify right side
    92,425.68x = 3,092,333,526.90
  5. Step 5: Solve for x
    x = 3,092,333,526.90/92,425.68
  6. Step 6: Final answer
    x = 33,457.51

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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.