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Finding the Fourth Proportional to 30,933.77, 46,407.47 and 13,163.47

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Solution

The fourth proportional to 30,933.77, 46,407.47 and 13,163.47 is: 19,748.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,933.77 : 46,407.47 = 13,163.47 : x
  2. Step 2: Convert to fraction form
    30,933.77/46,407.47 = 13,163.47/x
  3. Step 3: Cross multiply
    30,933.77x = 46,407.47 × 13,163.47
  4. Step 4: Simplify right side
    30,933.77x = 610,883,157.28
  5. Step 5: Solve for x
    x = 610,883,157.28/30,933.77
  6. Step 6: Final answer
    x = 19,748.10

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1.5x scale

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.