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Finding the Fourth Proportional to 40,714.16, 60,981.02 and 31,284.77

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Solution

The fourth proportional to 40,714.16, 60,981.02 and 31,284.77 is: 46,857.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,714.16 : 60,981.02 = 31,284.77 : x
  2. Step 2: Convert to fraction form
    40,714.16/60,981.02 = 31,284.77/x
  3. Step 3: Cross multiply
    40,714.16x = 60,981.02 × 31,284.77
  4. Step 4: Simplify right side
    40,714.16x = 1,907,777,028.64
  5. Step 5: Solve for x
    x = 1,907,777,028.64/40,714.16
  6. Step 6: Final answer
    x = 46,857.83

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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.