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Finding the Fourth Proportional to 46,388, 69,489.84 and 22,942.88

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Solution

The fourth proportional to 46,388, 69,489.84 and 22,942.88 is: 34,368.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,388 : 69,489.84 = 22,942.88 : x
  2. Step 2: Convert to fraction form
    46,388/69,489.84 = 22,942.88/x
  3. Step 3: Cross multiply
    46,388x = 69,489.84 × 22,942.88
  4. Step 4: Simplify right side
    46,388x = 1,594,297,060.34
  5. Step 5: Solve for x
    x = 1,594,297,060.34/46,388
  6. Step 6: Final answer
    x = 34,368.74

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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.