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Finding the Fourth Proportional to 30,222.24, 45,317.76 and 13,568

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Solution

The fourth proportional to 30,222.24, 45,317.76 and 13,568 is: 20,345.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,222.24 : 45,317.76 = 13,568 : x
  2. Step 2: Convert to fraction form
    30,222.24/45,317.76 = 13,568/x
  3. Step 3: Cross multiply
    30,222.24x = 45,317.76 × 13,568
  4. Step 4: Simplify right side
    30,222.24x = 614,871,367.68
  5. Step 5: Solve for x
    x = 614,871,367.68/30,222.24
  6. Step 6: Final answer
    x = 20,345.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.