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Finding the Fourth Proportional to 31,064.12, 42,867 and 16,916.88

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Solution

The fourth proportional to 31,064.12, 42,867 and 16,916.88 is: 23,344.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,064.12 : 42,867 = 16,916.88 : x
  2. Step 2: Convert to fraction form
    31,064.12/42,867 = 16,916.88/x
  3. Step 3: Cross multiply
    31,064.12x = 42,867 × 16,916.88
  4. Step 4: Simplify right side
    31,064.12x = 725,175,894.96
  5. Step 5: Solve for x
    x = 725,175,894.96/31,064.12
  6. Step 6: Final answer
    x = 23,344.49

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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.