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Finding the Fourth Proportional to 31,097.09, 42,880.10 and 21,008.02

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Solution

The fourth proportional to 31,097.09, 42,880.10 and 21,008.02 is: 28,968.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,097.09 : 42,880.10 = 21,008.02 : x
  2. Step 2: Convert to fraction form
    31,097.09/42,880.10 = 21,008.02/x
  3. Step 3: Cross multiply
    31,097.09x = 42,880.10 × 21,008.02
  4. Step 4: Simplify right side
    31,097.09x = 900,825,998.40
  5. Step 5: Solve for x
    x = 900,825,998.40/31,097.09
  6. Step 6: Final answer
    x = 28,968.18

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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.