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Finding the Fourth Proportional to 32,400.50, 44,712.69 and 17,496.50

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Solution

The fourth proportional to 32,400.50, 44,712.69 and 17,496.50 is: 24,145.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,400.50 : 44,712.69 = 17,496.50 : x
  2. Step 2: Convert to fraction form
    32,400.50/44,712.69 = 17,496.50/x
  3. Step 3: Cross multiply
    32,400.50x = 44,712.69 × 17,496.50
  4. Step 4: Simplify right side
    32,400.50x = 782,315,580.59
  5. Step 5: Solve for x
    x = 782,315,580.59/32,400.50
  6. Step 6: Final answer
    x = 24,145.17

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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.