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Finding the Fourth Proportional to 34,421.83, 51,633.31 and 9,461.72

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Solution

The fourth proportional to 34,421.83, 51,633.31 and 9,461.72 is: 14,192.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,421.83 : 51,633.31 = 9,461.72 : x
  2. Step 2: Convert to fraction form
    34,421.83/51,633.31 = 9,461.72/x
  3. Step 3: Cross multiply
    34,421.83x = 51,633.31 × 9,461.72
  4. Step 4: Simplify right side
    34,421.83x = 488,540,062.80
  5. Step 5: Solve for x
    x = 488,540,062.80/34,421.83
  6. Step 6: Final answer
    x = 14,192.74

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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.