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Finding the Fourth Proportional to 30,852.38, 46,278.57 and 7,478.82

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Solution

The fourth proportional to 30,852.38, 46,278.57 and 7,478.82 is: 11,218.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,852.38 : 46,278.57 = 7,478.82 : x
  2. Step 2: Convert to fraction form
    30,852.38/46,278.57 = 7,478.82/x
  3. Step 3: Cross multiply
    30,852.38x = 46,278.57 × 7,478.82
  4. Step 4: Simplify right side
    30,852.38x = 346,109,094.89
  5. Step 5: Solve for x
    x = 346,109,094.89/30,852.38
  6. Step 6: Final answer
    x = 11,218.23

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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.