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Finding the Fourth Proportional to 77,458.50, 116,180.46 and 24,868.44

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Solution

The fourth proportional to 77,458.50, 116,180.46 and 24,868.44 is: 37,300.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,458.50 : 116,180.46 = 24,868.44 : x
  2. Step 2: Convert to fraction form
    77,458.50/116,180.46 = 24,868.44/x
  3. Step 3: Cross multiply
    77,458.50x = 116,180.46 × 24,868.44
  4. Step 4: Simplify right side
    77,458.50x = 2,889,226,798.68
  5. Step 5: Solve for x
    x = 2,889,226,798.68/77,458.50
  6. Step 6: Final answer
    x = 37,300.32

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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.