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Finding the Fourth Proportional to 71,405.84, 107,071.32 and 24,647.60

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Solution

The fourth proportional to 71,405.84, 107,071.32 and 24,647.60 is: 36,958.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,405.84 : 107,071.32 = 24,647.60 : x
  2. Step 2: Convert to fraction form
    71,405.84/107,071.32 = 24,647.60/x
  3. Step 3: Cross multiply
    71,405.84x = 107,071.32 × 24,647.60
  4. Step 4: Simplify right side
    71,405.84x = 2,639,051,066.83
  5. Step 5: Solve for x
    x = 2,639,051,066.83/71,405.84
  6. Step 6: Final answer
    x = 36,958.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.