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Finding the Fourth Proportional to 117,421.73, 176,139.70 and 33,188.19

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Solution

The fourth proportional to 117,421.73, 176,139.70 and 33,188.19 is: 49,784.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,421.73 : 176,139.70 = 33,188.19 : x
  2. Step 2: Convert to fraction form
    117,421.73/176,139.70 = 33,188.19/x
  3. Step 3: Cross multiply
    117,421.73x = 176,139.70 × 33,188.19
  4. Step 4: Simplify right side
    117,421.73x = 5,845,757,830.14
  5. Step 5: Solve for x
    x = 5,845,757,830.14/117,421.73
  6. Step 6: Final answer
    x = 49,784.29

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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.