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Finding the Fourth Proportional to 31,002.19, 42,804.15 and 20,808.51

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Solution

The fourth proportional to 31,002.19, 42,804.15 and 20,808.51 is: 28,729.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,002.19 : 42,804.15 = 20,808.51 : x
  2. Step 2: Convert to fraction form
    31,002.19/42,804.15 = 20,808.51/x
  3. Step 3: Cross multiply
    31,002.19x = 42,804.15 × 20,808.51
  4. Step 4: Simplify right side
    31,002.19x = 890,690,583.32
  5. Step 5: Solve for x
    x = 890,690,583.32/31,002.19
  6. Step 6: Final answer
    x = 28,729.92

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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.