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Finding the Fourth Proportional to 34,700.57, 52,050.80 and 8,405.24

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Solution

The fourth proportional to 34,700.57, 52,050.80 and 8,405.24 is: 12,607.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,700.57 : 52,050.80 = 8,405.24 : x
  2. Step 2: Convert to fraction form
    34,700.57/52,050.80 = 8,405.24/x
  3. Step 3: Cross multiply
    34,700.57x = 52,050.80 × 8,405.24
  4. Step 4: Simplify right side
    34,700.57x = 437,499,205.94
  5. Step 5: Solve for x
    x = 437,499,205.94/34,700.57
  6. Step 6: Final answer
    x = 12,607.84

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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.