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Finding the Fourth Proportional to 29,842, 44,753.44 and 9,847.02

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Solution

The fourth proportional to 29,842, 44,753.44 and 9,847.02 is: 14,767.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,842 : 44,753.44 = 9,847.02 : x
  2. Step 2: Convert to fraction form
    29,842/44,753.44 = 9,847.02/x
  3. Step 3: Cross multiply
    29,842x = 44,753.44 × 9,847.02
  4. Step 4: Simplify right side
    29,842x = 440,688,018.75
  5. Step 5: Solve for x
    x = 440,688,018.75/29,842
  6. Step 6: Final answer
    x = 14,767.38

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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.