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Finding the Fourth Proportional to 50,771.34, 70,071.75 and 29,562.30

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Solution

The fourth proportional to 50,771.34, 70,071.75 and 29,562.30 is: 40,800.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,771.34 : 70,071.75 = 29,562.30 : x
  2. Step 2: Convert to fraction form
    50,771.34/70,071.75 = 29,562.30/x
  3. Step 3: Cross multiply
    50,771.34x = 70,071.75 × 29,562.30
  4. Step 4: Simplify right side
    50,771.34x = 2,071,482,095.03
  5. Step 5: Solve for x
    x = 2,071,482,095.03/50,771.34
  6. Step 6: Final answer
    x = 40,800.22

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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.