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Finding the Fourth Proportional to 30,750.81, 46,097.42 and 16,690.20

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Solution

The fourth proportional to 30,750.81, 46,097.42 and 16,690.20 is: 25,019.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,750.81 : 46,097.42 = 16,690.20 : x
  2. Step 2: Convert to fraction form
    30,750.81/46,097.42 = 16,690.20/x
  3. Step 3: Cross multiply
    30,750.81x = 46,097.42 × 16,690.20
  4. Step 4: Simplify right side
    30,750.81x = 769,375,075.83
  5. Step 5: Solve for x
    x = 769,375,075.83/30,750.81
  6. Step 6: Final answer
    x = 25,019.67

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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.