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Finding the Fourth Proportional to 46,507.84, 69,749.46 and 20,206.44

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Solution

The fourth proportional to 46,507.84, 69,749.46 and 20,206.44 is: 30,304.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,507.84 : 69,749.46 = 20,206.44 : x
  2. Step 2: Convert to fraction form
    46,507.84/69,749.46 = 20,206.44/x
  3. Step 3: Cross multiply
    46,507.84x = 69,749.46 × 20,206.44
  4. Step 4: Simplify right side
    46,507.84x = 1,409,388,278.52
  5. Step 5: Solve for x
    x = 1,409,388,278.52/46,507.84
  6. Step 6: Final answer
    x = 30,304.32

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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.