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Finding the Fourth Proportional to 34,847.55, 52,264.04 and 11,461.23

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Solution

The fourth proportional to 34,847.55, 52,264.04 and 11,461.23 is: 17,189.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,847.55 : 52,264.04 = 11,461.23 : x
  2. Step 2: Convert to fraction form
    34,847.55/52,264.04 = 11,461.23/x
  3. Step 3: Cross multiply
    34,847.55x = 52,264.04 × 11,461.23
  4. Step 4: Simplify right side
    34,847.55x = 599,010,125.86
  5. Step 5: Solve for x
    x = 599,010,125.86/34,847.55
  6. Step 6: Final answer
    x = 17,189.45

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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.