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Finding the Fourth Proportional to 50,783.40, 70,008.06 and 35,629.11

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Solution

The fourth proportional to 50,783.40, 70,008.06 and 35,629.11 is: 49,116.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,783.40 : 70,008.06 = 35,629.11 : x
  2. Step 2: Convert to fraction form
    50,783.40/70,008.06 = 35,629.11/x
  3. Step 3: Cross multiply
    50,783.40x = 70,008.06 × 35,629.11
  4. Step 4: Simplify right side
    50,783.40x = 2,494,324,870.63
  5. Step 5: Solve for x
    x = 2,494,324,870.63/50,783.40
  6. Step 6: Final answer
    x = 49,116.93

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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.