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Finding the Fourth Proportional to 65,816.21, 90,827.93 and 37,524.53

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Solution

The fourth proportional to 65,816.21, 90,827.93 and 37,524.53 is: 51,784.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,816.21 : 90,827.93 = 37,524.53 : x
  2. Step 2: Convert to fraction form
    65,816.21/90,827.93 = 37,524.53/x
  3. Step 3: Cross multiply
    65,816.21x = 90,827.93 × 37,524.53
  4. Step 4: Simplify right side
    65,816.21x = 3,408,275,196.50
  5. Step 5: Solve for x
    x = 3,408,275,196.50/65,816.21
  6. Step 6: Final answer
    x = 51,784.74

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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.