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Finding the Fourth Proportional to 65,962.78, 91,028.41 and 35,748.84

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Solution

The fourth proportional to 65,962.78, 91,028.41 and 35,748.84 is: 49,333.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,962.78 : 91,028.41 = 35,748.84 : x
  2. Step 2: Convert to fraction form
    65,962.78/91,028.41 = 35,748.84/x
  3. Step 3: Cross multiply
    65,962.78x = 91,028.41 × 35,748.84
  4. Step 4: Simplify right side
    65,962.78x = 3,254,160,316.53
  5. Step 5: Solve for x
    x = 3,254,160,316.53/65,962.78
  6. Step 6: Final answer
    x = 49,333.28

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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.