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Finding the Fourth Proportional to 77,003.36, 106,324.80 and 59,070

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Solution

The fourth proportional to 77,003.36, 106,324.80 and 59,070 is: 81,562.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,003.36 : 106,324.80 = 59,070 : x
  2. Step 2: Convert to fraction form
    77,003.36/106,324.80 = 59,070/x
  3. Step 3: Cross multiply
    77,003.36x = 106,324.80 × 59,070
  4. Step 4: Simplify right side
    77,003.36x = 6,280,605,936
  5. Step 5: Solve for x
    x = 6,280,605,936/77,003.36
  6. Step 6: Final answer
    x = 81,562.75

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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.