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Finding the Fourth Proportional to 31,053.15, 42,852.06 and 16,905.96

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Solution

The fourth proportional to 31,053.15, 42,852.06 and 16,905.96 is: 23,329.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,053.15 : 42,852.06 = 16,905.96 : x
  2. Step 2: Convert to fraction form
    31,053.15/42,852.06 = 16,905.96/x
  3. Step 3: Cross multiply
    31,053.15x = 42,852.06 × 16,905.96
  4. Step 4: Simplify right side
    31,053.15x = 724,455,212.28
  5. Step 5: Solve for x
    x = 724,455,212.28/31,053.15
  6. Step 6: Final answer
    x = 23,329.52

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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.