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Finding the Fourth Proportional to 46,068, 69,105.84 and 13,236

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Solution

The fourth proportional to 46,068, 69,105.84 and 13,236 is: 19,855.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,068 : 69,105.84 = 13,236 : x
  2. Step 2: Convert to fraction form
    46,068/69,105.84 = 13,236/x
  3. Step 3: Cross multiply
    46,068x = 69,105.84 × 13,236
  4. Step 4: Simplify right side
    46,068x = 914,684,898.24
  5. Step 5: Solve for x
    x = 914,684,898.24/46,068
  6. Step 6: Final answer
    x = 19,855.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.