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Finding the Fourth Proportional to 65,462.08, 90,334.56 and 37,164

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Solution

The fourth proportional to 65,462.08, 90,334.56 and 37,164 is: 51,284.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,462.08 : 90,334.56 = 37,164 : x
  2. Step 2: Convert to fraction form
    65,462.08/90,334.56 = 37,164/x
  3. Step 3: Cross multiply
    65,462.08x = 90,334.56 × 37,164
  4. Step 4: Simplify right side
    65,462.08x = 3,357,193,587.84
  5. Step 5: Solve for x
    x = 3,357,193,587.84/65,462.08
  6. Step 6: Final answer
    x = 51,284.55

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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.