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Finding the Fourth Proportional to 72,816.84, 109,147.50 and 51,977.16

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Solution

The fourth proportional to 72,816.84, 109,147.50 and 51,977.16 is: 77,910.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,816.84 : 109,147.50 = 51,977.16 : x
  2. Step 2: Convert to fraction form
    72,816.84/109,147.50 = 51,977.16/x
  3. Step 3: Cross multiply
    72,816.84x = 109,147.50 × 51,977.16
  4. Step 4: Simplify right side
    72,816.84x = 5,673,177,071.10
  5. Step 5: Solve for x
    x = 5,673,177,071.10/72,816.84
  6. Step 6: Final answer
    x = 77,910.23

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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.