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Finding the Fourth Proportional to 30,694.40, 46,041.12 and 15,100.64

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Solution

The fourth proportional to 30,694.40, 46,041.12 and 15,100.64 is: 22,650.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,694.40 : 46,041.12 = 15,100.64 : x
  2. Step 2: Convert to fraction form
    30,694.40/46,041.12 = 15,100.64/x
  3. Step 3: Cross multiply
    30,694.40x = 46,041.12 × 15,100.64
  4. Step 4: Simplify right side
    30,694.40x = 695,250,378.32
  5. Step 5: Solve for x
    x = 695,250,378.32/30,694.40
  6. Step 6: Final answer
    x = 22,650.72

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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.