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Finding the Fourth Proportional to 77,710.86, 116,566.28 and 51,409.44

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Solution

The fourth proportional to 77,710.86, 116,566.28 and 51,409.44 is: 77,114.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,710.86 : 116,566.28 = 51,409.44 : x
  2. Step 2: Convert to fraction form
    77,710.86/116,566.28 = 51,409.44/x
  3. Step 3: Cross multiply
    77,710.86x = 116,566.28 × 51,409.44
  4. Step 4: Simplify right side
    77,710.86x = 5,992,607,212.05
  5. Step 5: Solve for x
    x = 5,992,607,212.05/77,710.86
  6. Step 6: Final answer
    x = 77,114.16

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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.