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Finding the Fourth Proportional to 28,294.08, 42,431.08 and 8,298

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Solution

The fourth proportional to 28,294.08, 42,431.08 and 8,298 is: 12,444.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,294.08 : 42,431.08 = 8,298 : x
  2. Step 2: Convert to fraction form
    28,294.08/42,431.08 = 8,298/x
  3. Step 3: Cross multiply
    28,294.08x = 42,431.08 × 8,298
  4. Step 4: Simplify right side
    28,294.08x = 352,093,101.84
  5. Step 5: Solve for x
    x = 352,093,101.84/28,294.08
  6. Step 6: Final answer
    x = 12,444.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.