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Finding the Fourth Proportional to 73,395.30, 101,303.64 and 41,583

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Solution

The fourth proportional to 73,395.30, 101,303.64 and 41,583 is: 57,394.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,395.30 : 101,303.64 = 41,583 : x
  2. Step 2: Convert to fraction form
    73,395.30/101,303.64 = 41,583/x
  3. Step 3: Cross multiply
    73,395.30x = 101,303.64 × 41,583
  4. Step 4: Simplify right side
    73,395.30x = 4,212,509,262.12
  5. Step 5: Solve for x
    x = 4,212,509,262.12/73,395.30
  6. Step 6: Final answer
    x = 57,394.81

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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.