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Finding the Fourth Proportional to 46,506.32, 69,724.34 and 23,992.82

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Solution

The fourth proportional to 46,506.32, 69,724.34 and 23,992.82 is: 35,971.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,506.32 : 69,724.34 = 23,992.82 : x
  2. Step 2: Convert to fraction form
    46,506.32/69,724.34 = 23,992.82/x
  3. Step 3: Cross multiply
    46,506.32x = 69,724.34 × 23,992.82
  4. Step 4: Simplify right side
    46,506.32x = 1,672,883,070.65
  5. Step 5: Solve for x
    x = 1,672,883,070.65/46,506.32
  6. Step 6: Final answer
    x = 35,971.09

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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.