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Finding the Fourth Proportional to 77,349.57, 116,024.45 and 21,190.16

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Solution

The fourth proportional to 77,349.57, 116,024.45 and 21,190.16 is: 31,785.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,349.57 : 116,024.45 = 21,190.16 : x
  2. Step 2: Convert to fraction form
    77,349.57/116,024.45 = 21,190.16/x
  3. Step 3: Cross multiply
    77,349.57x = 116,024.45 × 21,190.16
  4. Step 4: Simplify right side
    77,349.57x = 2,458,576,659.41
  5. Step 5: Solve for x
    x = 2,458,576,659.41/77,349.57
  6. Step 6: Final answer
    x = 31,785.27

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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.