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Finding the Fourth Proportional to 32,735.50, 45,175 and 17,831.50

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Solution

The fourth proportional to 32,735.50, 45,175 and 17,831.50 is: 24,607.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,735.50 : 45,175 = 17,831.50 : x
  2. Step 2: Convert to fraction form
    32,735.50/45,175 = 17,831.50/x
  3. Step 3: Cross multiply
    32,735.50x = 45,175 × 17,831.50
  4. Step 4: Simplify right side
    32,735.50x = 805,538,012.50
  5. Step 5: Solve for x
    x = 805,538,012.50/32,735.50
  6. Step 6: Final answer
    x = 24,607.48

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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.