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Finding the Fourth Proportional to 31,053.66, 42,852.96 and 16,906.20

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Solution

The fourth proportional to 31,053.66, 42,852.96 and 16,906.20 is: 23,329.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,053.66 : 42,852.96 = 16,906.20 : x
  2. Step 2: Convert to fraction form
    31,053.66/42,852.96 = 16,906.20/x
  3. Step 3: Cross multiply
    31,053.66x = 42,852.96 × 16,906.20
  4. Step 4: Simplify right side
    31,053.66x = 724,480,712.35
  5. Step 5: Solve for x
    x = 724,480,712.35/31,053.66
  6. Step 6: Final answer
    x = 23,329.96

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