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Finding the Fourth Proportional to 117,877.44, 176,751.54 and 46,728

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Solution

The fourth proportional to 117,877.44, 176,751.54 and 46,728 is: 70,066.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,877.44 : 176,751.54 = 46,728 : x
  2. Step 2: Convert to fraction form
    117,877.44/176,751.54 = 46,728/x
  3. Step 3: Cross multiply
    117,877.44x = 176,751.54 × 46,728
  4. Step 4: Simplify right side
    117,877.44x = 8,259,245,961.12
  5. Step 5: Solve for x
    x = 8,259,245,961.12/117,877.44
  6. Step 6: Final answer
    x = 70,066.38

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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.