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Finding the Fourth Proportional to 46,452.83, 64,131.50 and 30,583.41

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Solution

The fourth proportional to 46,452.83, 64,131.50 and 30,583.41 is: 42,222.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,452.83 : 64,131.50 = 30,583.41 : x
  2. Step 2: Convert to fraction form
    46,452.83/64,131.50 = 30,583.41/x
  3. Step 3: Cross multiply
    46,452.83x = 64,131.50 × 30,583.41
  4. Step 4: Simplify right side
    46,452.83x = 1,961,359,794.38
  5. Step 5: Solve for x
    x = 1,961,359,794.38/46,452.83
  6. Step 6: Final answer
    x = 42,222.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.