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Finding the Fourth Proportional to 35,648.92, 49,175.80 and 22,904.01

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Solution

The fourth proportional to 35,648.92, 49,175.80 and 22,904.01 is: 31,594.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,648.92 : 49,175.80 = 22,904.01 : x
  2. Step 2: Convert to fraction form
    35,648.92/49,175.80 = 22,904.01/x
  3. Step 3: Cross multiply
    35,648.92x = 49,175.80 × 22,904.01
  4. Step 4: Simplify right side
    35,648.92x = 1,126,323,014.96
  5. Step 5: Solve for x
    x = 1,126,323,014.96/35,648.92
  6. Step 6: Final answer
    x = 31,594.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.