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Finding the Fourth Proportional to 117,647.55, 176,470.95 and 33,407.82

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Solution

The fourth proportional to 117,647.55, 176,470.95 and 33,407.82 is: 50,111.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,647.55 : 176,470.95 = 33,407.82 : x
  2. Step 2: Convert to fraction form
    117,647.55/176,470.95 = 33,407.82/x
  3. Step 3: Cross multiply
    117,647.55x = 176,470.95 × 33,407.82
  4. Step 4: Simplify right side
    117,647.55x = 5,895,509,732.83
  5. Step 5: Solve for x
    x = 5,895,509,732.83/117,647.55
  6. Step 6: Final answer
    x = 50,111.62

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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.