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Finding the Fourth Proportional to 59,683.48, 82,365.22 and 32,827

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Solution

The fourth proportional to 59,683.48, 82,365.22 and 32,827 is: 45,302.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,683.48 : 82,365.22 = 32,827 : x
  2. Step 2: Convert to fraction form
    59,683.48/82,365.22 = 32,827/x
  3. Step 3: Cross multiply
    59,683.48x = 82,365.22 × 32,827
  4. Step 4: Simplify right side
    59,683.48x = 2,703,803,076.94
  5. Step 5: Solve for x
    x = 2,703,803,076.94/59,683.48
  6. Step 6: Final answer
    x = 45,302.37

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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.