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Finding the Fourth Proportional to 46,467.78, 69,703.04 and 11,407.44

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Solution

The fourth proportional to 46,467.78, 69,703.04 and 11,407.44 is: 17,111.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,467.78 : 69,703.04 = 11,407.44 : x
  2. Step 2: Convert to fraction form
    46,467.78/69,703.04 = 11,407.44/x
  3. Step 3: Cross multiply
    46,467.78x = 69,703.04 × 11,407.44
  4. Step 4: Simplify right side
    46,467.78x = 795,133,246.62
  5. Step 5: Solve for x
    x = 795,133,246.62/46,467.78
  6. Step 6: Final answer
    x = 17,111.50

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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.