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Finding the Fourth Proportional to 50,807.63, 70,068.84 and 32,883.95

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Solution

The fourth proportional to 50,807.63, 70,068.84 and 32,883.95 is: 45,350.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,807.63 : 70,068.84 = 32,883.95 : x
  2. Step 2: Convert to fraction form
    50,807.63/70,068.84 = 32,883.95/x
  3. Step 3: Cross multiply
    50,807.63x = 70,068.84 × 32,883.95
  4. Step 4: Simplify right side
    50,807.63x = 2,304,140,231.12
  5. Step 5: Solve for x
    x = 2,304,140,231.12/50,807.63
  6. Step 6: Final answer
    x = 45,350.28

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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.