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Finding the Fourth Proportional to 77,433.86, 116,199.95 and 33,060.95

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Solution

The fourth proportional to 77,433.86, 116,199.95 and 33,060.95 is: 49,612.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,433.86 : 116,199.95 = 33,060.95 : x
  2. Step 2: Convert to fraction form
    77,433.86/116,199.95 = 33,060.95/x
  3. Step 3: Cross multiply
    77,433.86x = 116,199.95 × 33,060.95
  4. Step 4: Simplify right side
    77,433.86x = 3,841,680,736.95
  5. Step 5: Solve for x
    x = 3,841,680,736.95/77,433.86
  6. Step 6: Final answer
    x = 49,612.41

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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.