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Finding the Fourth Proportional to 65,652.64, 90,676.08 and 47,827.36

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Solution

The fourth proportional to 65,652.64, 90,676.08 and 47,827.36 is: 66,056.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,652.64 : 90,676.08 = 47,827.36 : x
  2. Step 2: Convert to fraction form
    65,652.64/90,676.08 = 47,827.36/x
  3. Step 3: Cross multiply
    65,652.64x = 90,676.08 × 47,827.36
  4. Step 4: Simplify right side
    65,652.64x = 4,336,797,521.55
  5. Step 5: Solve for x
    x = 4,336,797,521.55/65,652.64
  6. Step 6: Final answer
    x = 66,056.71

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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.