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Finding the Fourth Proportional to 75,309.64, 103,927.26 and 41,318.35

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Solution

The fourth proportional to 75,309.64, 103,927.26 and 41,318.35 is: 57,019.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,309.64 : 103,927.26 = 41,318.35 : x
  2. Step 2: Convert to fraction form
    75,309.64/103,927.26 = 41,318.35/x
  3. Step 3: Cross multiply
    75,309.64x = 103,927.26 × 41,318.35
  4. Step 4: Simplify right side
    75,309.64x = 4,294,102,903.22
  5. Step 5: Solve for x
    x = 4,294,102,903.22/75,309.64
  6. Step 6: Final answer
    x = 57,019.30

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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.