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Finding the Fourth Proportional to 31,053.07, 42,851.82 and 16,905.88

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Solution

The fourth proportional to 31,053.07, 42,851.82 and 16,905.88 is: 23,329.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,053.07 : 42,851.82 = 16,905.88 : x
  2. Step 2: Convert to fraction form
    31,053.07/42,851.82 = 16,905.88/x
  3. Step 3: Cross multiply
    31,053.07x = 42,851.82 × 16,905.88
  4. Step 4: Simplify right side
    31,053.07x = 724,447,726.70
  5. Step 5: Solve for x
    x = 724,447,726.70/31,053.07
  6. Step 6: Final answer
    x = 23,329.34

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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.