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Finding the Fourth Proportional to 70,647.96, 105,948.54 and 28,517.16

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Solution

The fourth proportional to 70,647.96, 105,948.54 and 28,517.16 is: 42,766.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,647.96 : 105,948.54 = 28,517.16 : x
  2. Step 2: Convert to fraction form
    70,647.96/105,948.54 = 28,517.16/x
  3. Step 3: Cross multiply
    70,647.96x = 105,948.54 × 28,517.16
  4. Step 4: Simplify right side
    70,647.96x = 3,021,351,466.95
  5. Step 5: Solve for x
    x = 3,021,351,466.95/70,647.96
  6. Step 6: Final answer
    x = 42,766.29

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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.