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Finding the Fourth Proportional to 28,431.60, 42,647.40 and 19,100.40

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Solution

The fourth proportional to 28,431.60, 42,647.40 and 19,100.40 is: 28,650.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,431.60 : 42,647.40 = 19,100.40 : x
  2. Step 2: Convert to fraction form
    28,431.60/42,647.40 = 19,100.40/x
  3. Step 3: Cross multiply
    28,431.60x = 42,647.40 × 19,100.40
  4. Step 4: Simplify right side
    28,431.60x = 814,582,398.96
  5. Step 5: Solve for x
    x = 814,582,398.96/28,431.60
  6. Step 6: Final answer
    x = 28,650.60

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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.