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Finding the Fourth Proportional to 29,802.12, 44,709.66 and 9,027.24

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Solution

The fourth proportional to 29,802.12, 44,709.66 and 9,027.24 is: 13,542.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,802.12 : 44,709.66 = 9,027.24 : x
  2. Step 2: Convert to fraction form
    29,802.12/44,709.66 = 9,027.24/x
  3. Step 3: Cross multiply
    29,802.12x = 44,709.66 × 9,027.24
  4. Step 4: Simplify right side
    29,802.12x = 403,604,831.14
  5. Step 5: Solve for x
    x = 403,604,831.14/29,802.12
  6. Step 6: Final answer
    x = 13,542.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.