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Finding the Fourth Proportional to 77,477.80, 116,216.70 and 53,858.20

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Solution

The fourth proportional to 77,477.80, 116,216.70 and 53,858.20 is: 80,787.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,477.80 : 116,216.70 = 53,858.20 : x
  2. Step 2: Convert to fraction form
    77,477.80/116,216.70 = 53,858.20/x
  3. Step 3: Cross multiply
    77,477.80x = 116,216.70 × 53,858.20
  4. Step 4: Simplify right side
    77,477.80x = 6,259,222,271.94
  5. Step 5: Solve for x
    x = 6,259,222,271.94/77,477.80
  6. Step 6: Final answer
    x = 80,787.30

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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.