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Finding the Fourth Proportional to 31,068.79, 42,876 and 17,639.60

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Solution

The fourth proportional to 31,068.79, 42,876 and 17,639.60 is: 24,343.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,068.79 : 42,876 = 17,639.60 : x
  2. Step 2: Convert to fraction form
    31,068.79/42,876 = 17,639.60/x
  3. Step 3: Cross multiply
    31,068.79x = 42,876 × 17,639.60
  4. Step 4: Simplify right side
    31,068.79x = 756,315,275.22
  5. Step 5: Solve for x
    x = 756,315,275.22/31,068.79
  6. Step 6: Final answer
    x = 24,343.25

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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.