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Finding the Fourth Proportional to 117,998.64, 176,842.44 and 47,839.68

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Solution

The fourth proportional to 117,998.64, 176,842.44 and 47,839.68 is: 71,696.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,998.64 : 176,842.44 = 47,839.68 : x
  2. Step 2: Convert to fraction form
    117,998.64/176,842.44 = 47,839.68/x
  3. Step 3: Cross multiply
    117,998.64x = 176,842.44 × 47,839.68
  4. Step 4: Simplify right side
    117,998.64x = 8,460,085,740.02
  5. Step 5: Solve for x
    x = 8,460,085,740.02/117,998.64
  6. Step 6: Final answer
    x = 71,696.47

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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.