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Finding the Fourth Proportional to 34,762.56, 52,142.82 and 8,466.92

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Solution

The fourth proportional to 34,762.56, 52,142.82 and 8,466.92 is: 12,700.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,762.56 : 52,142.82 = 8,466.92 : x
  2. Step 2: Convert to fraction form
    34,762.56/52,142.82 = 8,466.92/x
  3. Step 3: Cross multiply
    34,762.56x = 52,142.82 × 8,466.92
  4. Step 4: Simplify right side
    34,762.56x = 441,489,085.51
  5. Step 5: Solve for x
    x = 441,489,085.51/34,762.56
  6. Step 6: Final answer
    x = 12,700.13

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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.