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Finding the Fourth Proportional to 45,981, 68,971.50 and 14,816.25

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Solution

The fourth proportional to 45,981, 68,971.50 and 14,816.25 is: 22,224.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,981 : 68,971.50 = 14,816.25 : x
  2. Step 2: Convert to fraction form
    45,981/68,971.50 = 14,816.25/x
  3. Step 3: Cross multiply
    45,981x = 68,971.50 × 14,816.25
  4. Step 4: Simplify right side
    45,981x = 1,021,898,986.88
  5. Step 5: Solve for x
    x = 1,021,898,986.88/45,981
  6. Step 6: Final answer
    x = 22,224.38

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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.