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Finding the Fourth Proportional to 29,840.56, 44,761.84 and 9,064

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Solution

The fourth proportional to 29,840.56, 44,761.84 and 9,064 is: 13,596.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,840.56 : 44,761.84 = 9,064 : x
  2. Step 2: Convert to fraction form
    29,840.56/44,761.84 = 9,064/x
  3. Step 3: Cross multiply
    29,840.56x = 44,761.84 × 9,064
  4. Step 4: Simplify right side
    29,840.56x = 405,721,317.76
  5. Step 5: Solve for x
    x = 405,721,317.76/29,840.56
  6. Step 6: Final answer
    x = 13,596.30

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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.