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Finding the Fourth Proportional to 65,751.45, 90,736.78 and 37,461.93

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Solution

The fourth proportional to 65,751.45, 90,736.78 and 37,461.93 is: 51,697.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,751.45 : 90,736.78 = 37,461.93 : x
  2. Step 2: Convert to fraction form
    65,751.45/90,736.78 = 37,461.93/x
  3. Step 3: Cross multiply
    65,751.45x = 90,736.78 × 37,461.93
  4. Step 4: Simplify right side
    65,751.45x = 3,399,174,900.79
  5. Step 5: Solve for x
    x = 3,399,174,900.79/65,751.45
  6. Step 6: Final answer
    x = 51,697.34

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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.