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Finding the Fourth Proportional to 30,995.68, 46,497.60 and 10,212.16

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Solution

The fourth proportional to 30,995.68, 46,497.60 and 10,212.16 is: 15,319.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,995.68 : 46,497.60 = 10,212.16 : x
  2. Step 2: Convert to fraction form
    30,995.68/46,497.60 = 10,212.16/x
  3. Step 3: Cross multiply
    30,995.68x = 46,497.60 × 10,212.16
  4. Step 4: Simplify right side
    30,995.68x = 474,840,930.82
  5. Step 5: Solve for x
    x = 474,840,930.82/30,995.68
  6. Step 6: Final answer
    x = 15,319.58

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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.