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Finding the Fourth Proportional to 29,803.66, 44,705.36 and 7,617

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Solution

The fourth proportional to 29,803.66, 44,705.36 and 7,617 is: 11,425.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,803.66 : 44,705.36 = 7,617 : x
  2. Step 2: Convert to fraction form
    29,803.66/44,705.36 = 7,617/x
  3. Step 3: Cross multiply
    29,803.66x = 44,705.36 × 7,617
  4. Step 4: Simplify right side
    29,803.66x = 340,520,727.12
  5. Step 5: Solve for x
    x = 340,520,727.12/29,803.66
  6. Step 6: Final answer
    x = 11,425.47

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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.