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Finding the Fourth Proportional to 65,219.76, 97,824.85 and 20,834.59

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Solution

The fourth proportional to 65,219.76, 97,824.85 and 20,834.59 is: 31,250.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,219.76 : 97,824.85 = 20,834.59 : x
  2. Step 2: Convert to fraction form
    65,219.76/97,824.85 = 20,834.59/x
  3. Step 3: Cross multiply
    65,219.76x = 97,824.85 × 20,834.59
  4. Step 4: Simplify right side
    65,219.76x = 2,038,140,667.60
  5. Step 5: Solve for x
    x = 2,038,140,667.60/65,219.76
  6. Step 6: Final answer
    x = 31,250.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.