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Finding the Fourth Proportional to 73,235.34, 101,066.74 and 41,409.02

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Solution

The fourth proportional to 73,235.34, 101,066.74 and 41,409.02 is: 57,145.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,235.34 : 101,066.74 = 41,409.02 : x
  2. Step 2: Convert to fraction form
    73,235.34/101,066.74 = 41,409.02/x
  3. Step 3: Cross multiply
    73,235.34x = 101,066.74 × 41,409.02
  4. Step 4: Simplify right side
    73,235.34x = 4,185,074,807.14
  5. Step 5: Solve for x
    x = 4,185,074,807.14/73,235.34
  6. Step 6: Final answer
    x = 57,145.56

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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.