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Finding the Fourth Proportional to 50,714.92, 75,941.16 and 45,072.64

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Solution

The fourth proportional to 50,714.92, 75,941.16 and 45,072.64 is: 67,492.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,714.92 : 75,941.16 = 45,072.64 : x
  2. Step 2: Convert to fraction form
    50,714.92/75,941.16 = 45,072.64/x
  3. Step 3: Cross multiply
    50,714.92x = 75,941.16 × 45,072.64
  4. Step 4: Simplify right side
    50,714.92x = 3,422,868,565.86
  5. Step 5: Solve for x
    x = 3,422,868,565.86/50,714.92
  6. Step 6: Final answer
    x = 67,492.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.