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Finding the Fourth Proportional to 34,256.09, 47,281.03 and 20,824.50

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Solution

The fourth proportional to 34,256.09, 47,281.03 and 20,824.50 is: 28,742.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,256.09 : 47,281.03 = 20,824.50 : x
  2. Step 2: Convert to fraction form
    34,256.09/47,281.03 = 20,824.50/x
  3. Step 3: Cross multiply
    34,256.09x = 47,281.03 × 20,824.50
  4. Step 4: Simplify right side
    34,256.09x = 984,603,809.24
  5. Step 5: Solve for x
    x = 984,603,809.24/34,256.09
  6. Step 6: Final answer
    x = 28,742.45

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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.