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Finding the Fourth Proportional to 47,714.64, 65,846.16 and 26,492.64

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Solution

The fourth proportional to 47,714.64, 65,846.16 and 26,492.64 is: 36,559.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,714.64 : 65,846.16 = 26,492.64 : x
  2. Step 2: Convert to fraction form
    47,714.64/65,846.16 = 26,492.64/x
  3. Step 3: Cross multiply
    47,714.64x = 65,846.16 × 26,492.64
  4. Step 4: Simplify right side
    47,714.64x = 1,744,438,612.26
  5. Step 5: Solve for x
    x = 1,744,438,612.26/47,714.64
  6. Step 6: Final answer
    x = 36,559.82

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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.