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Finding the Fourth Proportional to 30,647.32, 45,967.48 and 10,652.97

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Solution

The fourth proportional to 30,647.32, 45,967.48 and 10,652.97 is: 15,978.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,647.32 : 45,967.48 = 10,652.97 : x
  2. Step 2: Convert to fraction form
    30,647.32/45,967.48 = 10,652.97/x
  3. Step 3: Cross multiply
    30,647.32x = 45,967.48 × 10,652.97
  4. Step 4: Simplify right side
    30,647.32x = 489,690,185.42
  5. Step 5: Solve for x
    x = 489,690,185.42/30,647.32
  6. Step 6: Final answer
    x = 15,978.24

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