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Finding the Fourth Proportional to 29,808.06, 44,712 and 7,621.44

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Solution

The fourth proportional to 29,808.06, 44,712 and 7,621.44 is: 11,432.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,808.06 : 44,712 = 7,621.44 : x
  2. Step 2: Convert to fraction form
    29,808.06/44,712 = 7,621.44/x
  3. Step 3: Cross multiply
    29,808.06x = 44,712 × 7,621.44
  4. Step 4: Simplify right side
    29,808.06x = 340,769,825.28
  5. Step 5: Solve for x
    x = 340,769,825.28/29,808.06
  6. Step 6: Final answer
    x = 11,432.14

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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.