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Finding the Fourth Proportional to 59,688.36, 82,360.26 and 34,533

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Solution

The fourth proportional to 59,688.36, 82,360.26 and 34,533 is: 47,649.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,688.36 : 82,360.26 = 34,533 : x
  2. Step 2: Convert to fraction form
    59,688.36/82,360.26 = 34,533/x
  3. Step 3: Cross multiply
    59,688.36x = 82,360.26 × 34,533
  4. Step 4: Simplify right side
    59,688.36x = 2,844,146,858.58
  5. Step 5: Solve for x
    x = 2,844,146,858.58/59,688.36
  6. Step 6: Final answer
    x = 47,649.94

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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.