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Finding the Fourth Proportional to 34,420.52, 51,620.85 and 9,461.38

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Solution

The fourth proportional to 34,420.52, 51,620.85 and 9,461.38 is: 14,189.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,420.52 : 51,620.85 = 9,461.38 : x
  2. Step 2: Convert to fraction form
    34,420.52/51,620.85 = 9,461.38/x
  3. Step 3: Cross multiply
    34,420.52x = 51,620.85 × 9,461.38
  4. Step 4: Simplify right side
    34,420.52x = 488,404,445.51
  5. Step 5: Solve for x
    x = 488,404,445.51/34,420.52
  6. Step 6: Final answer
    x = 14,189.34

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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.