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Finding the Fourth Proportional to 77,594.81, 116,383.41 and 21,442.86

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Solution

The fourth proportional to 77,594.81, 116,383.41 and 21,442.86 is: 32,161.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,594.81 : 116,383.41 = 21,442.86 : x
  2. Step 2: Convert to fraction form
    77,594.81/116,383.41 = 21,442.86/x
  3. Step 3: Cross multiply
    77,594.81x = 116,383.41 × 21,442.86
  4. Step 4: Simplify right side
    77,594.81x = 2,495,593,166.95
  5. Step 5: Solve for x
    x = 2,495,593,166.95/77,594.81
  6. Step 6: Final answer
    x = 32,161.86

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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.