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Finding the Fourth Proportional to 34,729.64, 52,094.10 and 8,434.40

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Solution

The fourth proportional to 34,729.64, 52,094.10 and 8,434.40 is: 12,651.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,729.64 : 52,094.10 = 8,434.40 : x
  2. Step 2: Convert to fraction form
    34,729.64/52,094.10 = 8,434.40/x
  3. Step 3: Cross multiply
    34,729.64x = 52,094.10 × 8,434.40
  4. Step 4: Simplify right side
    34,729.64x = 439,382,477.04
  5. Step 5: Solve for x
    x = 439,382,477.04/34,729.64
  6. Step 6: Final answer
    x = 12,651.51

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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.