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Finding the Fourth Proportional to 65,507.33, 90,399.65 and 37,213.01

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Solution

The fourth proportional to 65,507.33, 90,399.65 and 37,213.01 is: 51,353.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,507.33 : 90,399.65 = 37,213.01 : x
  2. Step 2: Convert to fraction form
    65,507.33/90,399.65 = 37,213.01/x
  3. Step 3: Cross multiply
    65,507.33x = 90,399.65 × 37,213.01
  4. Step 4: Simplify right side
    65,507.33x = 3,364,043,398.48
  5. Step 5: Solve for x
    x = 3,364,043,398.48/65,507.33
  6. Step 6: Final answer
    x = 51,353.70

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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.