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Finding the Fourth Proportional to 71,057.16, 106,529.58 and 48,804.60

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Solution

The fourth proportional to 71,057.16, 106,529.58 and 48,804.60 is: 73,168.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,057.16 : 106,529.58 = 48,804.60 : x
  2. Step 2: Convert to fraction form
    71,057.16/106,529.58 = 48,804.60/x
  3. Step 3: Cross multiply
    71,057.16x = 106,529.58 × 48,804.60
  4. Step 4: Simplify right side
    71,057.16x = 5,199,133,540.07
  5. Step 5: Solve for x
    x = 5,199,133,540.07/71,057.16
  6. Step 6: Final answer
    x = 73,168.33

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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.