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Finding the Fourth Proportional to 50,714.81, 69,962.85 and 32,815.58

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Solution

The fourth proportional to 50,714.81, 69,962.85 and 32,815.58 is: 45,270.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,714.81 : 69,962.85 = 32,815.58 : x
  2. Step 2: Convert to fraction form
    50,714.81/69,962.85 = 32,815.58/x
  3. Step 3: Cross multiply
    50,714.81x = 69,962.85 × 32,815.58
  4. Step 4: Simplify right side
    50,714.81x = 2,295,871,151.39
  5. Step 5: Solve for x
    x = 2,295,871,151.39/50,714.81
  6. Step 6: Final answer
    x = 45,270.24

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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.