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Finding the Fourth Proportional to 77,710.70, 116,566.05 and 51,409.29

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Solution

The fourth proportional to 77,710.70, 116,566.05 and 51,409.29 is: 77,113.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,710.70 : 116,566.05 = 51,409.29 : x
  2. Step 2: Convert to fraction form
    77,710.70/116,566.05 = 51,409.29/x
  3. Step 3: Cross multiply
    77,710.70x = 116,566.05 × 51,409.29
  4. Step 4: Simplify right side
    77,710.70x = 5,992,577,868.60
  5. Step 5: Solve for x
    x = 5,992,577,868.60/77,710.70
  6. Step 6: Final answer
    x = 77,113.94

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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.