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Finding the Fourth Proportional to 29,814.64, 41,129.04 and 22,728.76

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Solution

The fourth proportional to 29,814.64, 41,129.04 and 22,728.76 is: 31,354.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,814.64 : 41,129.04 = 22,728.76 : x
  2. Step 2: Convert to fraction form
    29,814.64/41,129.04 = 22,728.76/x
  3. Step 3: Cross multiply
    29,814.64x = 41,129.04 × 22,728.76
  4. Step 4: Simplify right side
    29,814.64x = 934,812,079.19
  5. Step 5: Solve for x
    x = 934,812,079.19/29,814.64
  6. Step 6: Final answer
    x = 31,354.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.