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Finding the Fourth Proportional to 29,297.01, 43,942.03 and 7,657.05

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Solution

The fourth proportional to 29,297.01, 43,942.03 and 7,657.05 is: 11,484.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,297.01 : 43,942.03 = 7,657.05 : x
  2. Step 2: Convert to fraction form
    29,297.01/43,942.03 = 7,657.05/x
  3. Step 3: Cross multiply
    29,297.01x = 43,942.03 × 7,657.05
  4. Step 4: Simplify right side
    29,297.01x = 336,466,301.67
  5. Step 5: Solve for x
    x = 336,466,301.67/29,297.01
  6. Step 6: Final answer
    x = 11,484.66

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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.