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Finding the Fourth Proportional to 32,468.50, 44,806.53 and 17,564.50

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Solution

The fourth proportional to 32,468.50, 44,806.53 and 17,564.50 is: 24,239.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,468.50 : 44,806.53 = 17,564.50 : x
  2. Step 2: Convert to fraction form
    32,468.50/44,806.53 = 17,564.50/x
  3. Step 3: Cross multiply
    32,468.50x = 44,806.53 × 17,564.50
  4. Step 4: Simplify right side
    32,468.50x = 787,004,296.19
  5. Step 5: Solve for x
    x = 787,004,296.19/32,468.50
  6. Step 6: Final answer
    x = 24,239.01

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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.