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Finding the Fourth Proportional to 77,114.60, 115,499.10 and 46,010.60

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Solution

The fourth proportional to 77,114.60, 115,499.10 and 46,010.60 is: 68,912.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,114.60 : 115,499.10 = 46,010.60 : x
  2. Step 2: Convert to fraction form
    77,114.60/115,499.10 = 46,010.60/x
  3. Step 3: Cross multiply
    77,114.60x = 115,499.10 × 46,010.60
  4. Step 4: Simplify right side
    77,114.60x = 5,314,182,890.46
  5. Step 5: Solve for x
    x = 5,314,182,890.46/77,114.60
  6. Step 6: Final answer
    x = 68,912.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.