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Finding the Fourth Proportional to 77,409.33, 116,376.43 and 61,813.59

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Solution

The fourth proportional to 77,409.33, 116,376.43 and 61,813.59 is: 92,929.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,409.33 : 116,376.43 = 61,813.59 : x
  2. Step 2: Convert to fraction form
    77,409.33/116,376.43 = 61,813.59/x
  3. Step 3: Cross multiply
    77,409.33x = 116,376.43 × 61,813.59
  4. Step 4: Simplify right side
    77,409.33x = 7,193,644,929.68
  5. Step 5: Solve for x
    x = 7,193,644,929.68/77,409.33
  6. Step 6: Final answer
    x = 92,929.95

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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.