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Finding the Fourth Proportional to 30,851.87, 46,277.81 and 7,478.31

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Solution

The fourth proportional to 30,851.87, 46,277.81 and 7,478.31 is: 11,217.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,851.87 : 46,277.81 = 7,478.31 : x
  2. Step 2: Convert to fraction form
    30,851.87/46,277.81 = 7,478.31/x
  3. Step 3: Cross multiply
    30,851.87x = 46,277.81 × 7,478.31
  4. Step 4: Simplify right side
    30,851.87x = 346,079,828.00
  5. Step 5: Solve for x
    x = 346,079,828.00/30,851.87
  6. Step 6: Final answer
    x = 11,217.47

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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.