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Finding the Fourth Proportional to 34,738.08, 52,106.48 and 8,442.64

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Solution

The fourth proportional to 34,738.08, 52,106.48 and 8,442.64 is: 12,663.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,738.08 : 52,106.48 = 8,442.64 : x
  2. Step 2: Convert to fraction form
    34,738.08/52,106.48 = 8,442.64/x
  3. Step 3: Cross multiply
    34,738.08x = 52,106.48 × 8,442.64
  4. Step 4: Simplify right side
    34,738.08x = 439,916,252.31
  5. Step 5: Solve for x
    x = 439,916,252.31/34,738.08
  6. Step 6: Final answer
    x = 12,663.80

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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.