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Finding the Fourth Proportional to 36,748.88, 50,582.76 and 30,714.32

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Solution

The fourth proportional to 36,748.88, 50,582.76 and 30,714.32 is: 42,276.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,748.88 : 50,582.76 = 30,714.32 : x
  2. Step 2: Convert to fraction form
    36,748.88/50,582.76 = 30,714.32/x
  3. Step 3: Cross multiply
    36,748.88x = 50,582.76 × 30,714.32
  4. Step 4: Simplify right side
    36,748.88x = 1,553,615,077.12
  5. Step 5: Solve for x
    x = 1,553,615,077.12/36,748.88
  6. Step 6: Final answer
    x = 42,276.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.