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Finding the Fourth Proportional to 31,194, 46,762.92 and 11,468.34

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Solution

The fourth proportional to 31,194, 46,762.92 and 11,468.34 is: 17,192.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,194 : 46,762.92 = 11,468.34 : x
  2. Step 2: Convert to fraction form
    31,194/46,762.92 = 11,468.34/x
  3. Step 3: Cross multiply
    31,194x = 46,762.92 × 11,468.34
  4. Step 4: Simplify right side
    31,194x = 536,293,065.95
  5. Step 5: Solve for x
    x = 536,293,065.95/31,194
  6. Step 6: Final answer
    x = 17,192.19

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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.