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Finding the Fourth Proportional to 77,167, 106,504.10 and 45,335.89

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Solution

The fourth proportional to 77,167, 106,504.10 and 45,335.89 is: 62,571.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,167 : 106,504.10 = 45,335.89 : x
  2. Step 2: Convert to fraction form
    77,167/106,504.10 = 45,335.89/x
  3. Step 3: Cross multiply
    77,167x = 106,504.10 × 45,335.89
  4. Step 4: Simplify right side
    77,167x = 4,828,458,162.15
  5. Step 5: Solve for x
    x = 4,828,458,162.15/77,167
  6. Step 6: Final answer
    x = 62,571.54

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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.