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Finding the Fourth Proportional to 65,365.64, 90,204 and 37,071.53

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Solution

The fourth proportional to 65,365.64, 90,204 and 37,071.53 is: 51,158.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,365.64 : 90,204 = 37,071.53 : x
  2. Step 2: Convert to fraction form
    65,365.64/90,204 = 37,071.53/x
  3. Step 3: Cross multiply
    65,365.64x = 90,204 × 37,071.53
  4. Step 4: Simplify right side
    65,365.64x = 3,344,000,292.12
  5. Step 5: Solve for x
    x = 3,344,000,292.12/65,365.64
  6. Step 6: Final answer
    x = 51,158.38

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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.