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Finding the Fourth Proportional to 55,009.84, 75,913.74 and 29,859.34

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Solution

The fourth proportional to 55,009.84, 75,913.74 and 29,859.34 is: 41,205.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,009.84 : 75,913.74 = 29,859.34 : x
  2. Step 2: Convert to fraction form
    55,009.84/75,913.74 = 29,859.34/x
  3. Step 3: Cross multiply
    55,009.84x = 75,913.74 × 29,859.34
  4. Step 4: Simplify right side
    55,009.84x = 2,266,734,173.33
  5. Step 5: Solve for x
    x = 2,266,734,173.33/55,009.84
  6. Step 6: Final answer
    x = 41,205.98

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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.