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Finding the Fourth Proportional to 51,099.29, 77,128.91 and 51,099.29

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Solution

The fourth proportional to 51,099.29, 77,128.91 and 51,099.29 is: 77,128.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,099.29 : 77,128.91 = 51,099.29 : x
  2. Step 2: Convert to fraction form
    51,099.29/77,128.91 = 51,099.29/x
  3. Step 3: Cross multiply
    51,099.29x = 77,128.91 × 51,099.29
  4. Step 4: Simplify right side
    51,099.29x = 3,941,231,898.33
  5. Step 5: Solve for x
    x = 3,941,231,898.33/51,099.29
  6. Step 6: Final answer
    x = 77,128.91

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.