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Finding the Fourth Proportional to 77,224.50, 106,571.59 and 43,232.13

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Solution

The fourth proportional to 77,224.50, 106,571.59 and 43,232.13 is: 59,661.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,224.50 : 106,571.59 = 43,232.13 : x
  2. Step 2: Convert to fraction form
    77,224.50/106,571.59 = 43,232.13/x
  3. Step 3: Cross multiply
    77,224.50x = 106,571.59 × 43,232.13
  4. Step 4: Simplify right side
    77,224.50x = 4,607,316,725.11
  5. Step 5: Solve for x
    x = 4,607,316,725.11/77,224.50
  6. Step 6: Final answer
    x = 59,661.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.