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Finding the Fourth Proportional to 30,724.88, 46,111.93 and 14,092.75

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Solution

The fourth proportional to 30,724.88, 46,111.93 and 14,092.75 is: 21,150.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,724.88 : 46,111.93 = 14,092.75 : x
  2. Step 2: Convert to fraction form
    30,724.88/46,111.93 = 14,092.75/x
  3. Step 3: Cross multiply
    30,724.88x = 46,111.93 × 14,092.75
  4. Step 4: Simplify right side
    30,724.88x = 649,843,901.51
  5. Step 5: Solve for x
    x = 649,843,901.51/30,724.88
  6. Step 6: Final answer
    x = 21,150.41

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