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Finding the Fourth Proportional to 29,583.64, 44,363.82 and 12,047.12

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Solution

The fourth proportional to 29,583.64, 44,363.82 and 12,047.12 is: 18,065.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,583.64 : 44,363.82 = 12,047.12 : x
  2. Step 2: Convert to fraction form
    29,583.64/44,363.82 = 12,047.12/x
  3. Step 3: Cross multiply
    29,583.64x = 44,363.82 × 12,047.12
  4. Step 4: Simplify right side
    29,583.64x = 534,456,263.20
  5. Step 5: Solve for x
    x = 534,456,263.20/29,583.64
  6. Step 6: Final answer
    x = 18,065.94

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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.