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Finding the Fourth Proportional to 77,407.50, 116,121.60 and 30,649.44

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Solution

The fourth proportional to 77,407.50, 116,121.60 and 30,649.44 is: 45,978.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,407.50 : 116,121.60 = 30,649.44 : x
  2. Step 2: Convert to fraction form
    77,407.50/116,121.60 = 30,649.44/x
  3. Step 3: Cross multiply
    77,407.50x = 116,121.60 × 30,649.44
  4. Step 4: Simplify right side
    77,407.50x = 3,559,062,011.90
  5. Step 5: Solve for x
    x = 3,559,062,011.90/77,407.50
  6. Step 6: Final answer
    x = 45,978.26

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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.