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Finding the Fourth Proportional to 55,852.73, 77,094.74 and 35,763.74

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Solution

The fourth proportional to 55,852.73, 77,094.74 and 35,763.74 is: 49,365.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,852.73 : 77,094.74 = 35,763.74 : x
  2. Step 2: Convert to fraction form
    55,852.73/77,094.74 = 35,763.74/x
  3. Step 3: Cross multiply
    55,852.73x = 77,094.74 × 35,763.74
  4. Step 4: Simplify right side
    55,852.73x = 2,757,196,236.73
  5. Step 5: Solve for x
    x = 2,757,196,236.73/55,852.73
  6. Step 6: Final answer
    x = 49,365.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.