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Finding the Fourth Proportional to 73,574, 101,525.10 and 41,301.24

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Solution

The fourth proportional to 73,574, 101,525.10 and 41,301.24 is: 56,991.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,574 : 101,525.10 = 41,301.24 : x
  2. Step 2: Convert to fraction form
    73,574/101,525.10 = 41,301.24/x
  3. Step 3: Cross multiply
    73,574x = 101,525.10 × 41,301.24
  4. Step 4: Simplify right side
    73,574x = 4,193,112,521.12
  5. Step 5: Solve for x
    x = 4,193,112,521.12/73,574
  6. Step 6: Final answer
    x = 56,991.77

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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.