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Finding the Fourth Proportional to 34,432.51, 51,641.97 and 9,466.12

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Solution

The fourth proportional to 34,432.51, 51,641.97 and 9,466.12 is: 14,197.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,432.51 : 51,641.97 = 9,466.12 : x
  2. Step 2: Convert to fraction form
    34,432.51/51,641.97 = 9,466.12/x
  3. Step 3: Cross multiply
    34,432.51x = 51,641.97 × 9,466.12
  4. Step 4: Simplify right side
    34,432.51x = 488,849,037.73
  5. Step 5: Solve for x
    x = 488,849,037.73/34,432.51
  6. Step 6: Final answer
    x = 14,197.31

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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.