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Finding the Fourth Proportional to 65,887.02, 90,902.66 and 42,021.38

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Solution

The fourth proportional to 65,887.02, 90,902.66 and 42,021.38 is: 57,975.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,887.02 : 90,902.66 = 42,021.38 : x
  2. Step 2: Convert to fraction form
    65,887.02/90,902.66 = 42,021.38/x
  3. Step 3: Cross multiply
    65,887.02x = 90,902.66 × 42,021.38
  4. Step 4: Simplify right side
    65,887.02x = 3,819,855,236.02
  5. Step 5: Solve for x
    x = 3,819,855,236.02/65,887.02
  6. Step 6: Final answer
    x = 57,975.84

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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.