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Finding the Fourth Proportional to 30,782.95, 46,174.43 and 7,409.38

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Solution

The fourth proportional to 30,782.95, 46,174.43 and 7,409.38 is: 11,114.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,782.95 : 46,174.43 = 7,409.38 : x
  2. Step 2: Convert to fraction form
    30,782.95/46,174.43 = 7,409.38/x
  3. Step 3: Cross multiply
    30,782.95x = 46,174.43 × 7,409.38
  4. Step 4: Simplify right side
    30,782.95x = 342,123,898.15
  5. Step 5: Solve for x
    x = 342,123,898.15/30,782.95
  6. Step 6: Final answer
    x = 11,114.07

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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.