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Finding the Fourth Proportional to 31,096.09, 42,878.72 and 21,007.02

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Solution

The fourth proportional to 31,096.09, 42,878.72 and 21,007.02 is: 28,966.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,096.09 : 42,878.72 = 21,007.02 : x
  2. Step 2: Convert to fraction form
    31,096.09/42,878.72 = 21,007.02/x
  3. Step 3: Cross multiply
    31,096.09x = 42,878.72 × 21,007.02
  4. Step 4: Simplify right side
    31,096.09x = 900,754,181.13
  5. Step 5: Solve for x
    x = 900,754,181.13/31,096.09
  6. Step 6: Final answer
    x = 28,966.80

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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.