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Finding the Fourth Proportional to 30,852.25, 46,278.37 and 7,478.69

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Solution

The fourth proportional to 30,852.25, 46,278.37 and 7,478.69 is: 11,218.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,852.25 : 46,278.37 = 7,478.69 : x
  2. Step 2: Convert to fraction form
    30,852.25/46,278.37 = 7,478.69/x
  3. Step 3: Cross multiply
    30,852.25x = 46,278.37 × 7,478.69
  4. Step 4: Simplify right side
    30,852.25x = 346,101,360.89
  5. Step 5: Solve for x
    x = 346,101,360.89/30,852.25
  6. Step 6: Final answer
    x = 11,218.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.