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Finding the Fourth Proportional to 31,051.92, 42,851.64 and 16,904.76

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Solution

The fourth proportional to 31,051.92, 42,851.64 and 16,904.76 is: 23,328.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,051.92 : 42,851.64 = 16,904.76 : x
  2. Step 2: Convert to fraction form
    31,051.92/42,851.64 = 16,904.76/x
  3. Step 3: Cross multiply
    31,051.92x = 42,851.64 × 16,904.76
  4. Step 4: Simplify right side
    31,051.92x = 724,396,689.81
  5. Step 5: Solve for x
    x = 724,396,689.81/31,051.92
  6. Step 6: Final answer
    x = 23,328.56

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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.