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Finding the Fourth Proportional to 49,055.85, 67,697.21 and 27,835.06

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Solution

The fourth proportional to 49,055.85, 67,697.21 and 27,835.06 is: 38,412.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,055.85 : 67,697.21 = 27,835.06 : x
  2. Step 2: Convert to fraction form
    49,055.85/67,697.21 = 27,835.06/x
  3. Step 3: Cross multiply
    49,055.85x = 67,697.21 × 27,835.06
  4. Step 4: Simplify right side
    49,055.85x = 1,884,355,763.01
  5. Step 5: Solve for x
    x = 1,884,355,763.01/49,055.85
  6. Step 6: Final answer
    x = 38,412.46

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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.