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Finding the Fourth Proportional to 30,851.58, 46,277.36 and 7,478.01

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Solution

The fourth proportional to 30,851.58, 46,277.36 and 7,478.01 is: 11,217.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,851.58 : 46,277.36 = 7,478.01 : x
  2. Step 2: Convert to fraction form
    30,851.58/46,277.36 = 7,478.01/x
  3. Step 3: Cross multiply
    30,851.58x = 46,277.36 × 7,478.01
  4. Step 4: Simplify right side
    30,851.58x = 346,062,560.85
  5. Step 5: Solve for x
    x = 346,062,560.85/30,851.58
  6. Step 6: Final answer
    x = 11,217.01

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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.