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Finding the Fourth Proportional to 34,730.16, 52,094.85 and 8,434.89

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Solution

The fourth proportional to 34,730.16, 52,094.85 and 8,434.89 is: 12,652.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,730.16 : 52,094.85 = 8,434.89 : x
  2. Step 2: Convert to fraction form
    34,730.16/52,094.85 = 8,434.89/x
  3. Step 3: Cross multiply
    34,730.16x = 52,094.85 × 8,434.89
  4. Step 4: Simplify right side
    34,730.16x = 439,414,329.32
  5. Step 5: Solve for x
    x = 439,414,329.32/34,730.16
  6. Step 6: Final answer
    x = 12,652.24

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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.