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Finding the Fourth Proportional to 31,052.61, 42,852.78 and 16,905.42

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Solution

The fourth proportional to 31,052.61, 42,852.78 and 16,905.42 is: 23,329.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,052.61 : 42,852.78 = 16,905.42 : x
  2. Step 2: Convert to fraction form
    31,052.61/42,852.78 = 16,905.42/x
  3. Step 3: Cross multiply
    31,052.61x = 42,852.78 × 16,905.42
  4. Step 4: Simplify right side
    31,052.61x = 724,444,244.07
  5. Step 5: Solve for x
    x = 724,444,244.07/31,052.61
  6. Step 6: Final answer
    x = 23,329.58

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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.