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Finding the Fourth Proportional to 46,028.52, 69,130.31 and 28,620

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Solution

The fourth proportional to 46,028.52, 69,130.31 and 28,620 is: 42,984.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,028.52 : 69,130.31 = 28,620 : x
  2. Step 2: Convert to fraction form
    46,028.52/69,130.31 = 28,620/x
  3. Step 3: Cross multiply
    46,028.52x = 69,130.31 × 28,620
  4. Step 4: Simplify right side
    46,028.52x = 1,978,509,329.10
  5. Step 5: Solve for x
    x = 1,978,509,329.10/46,028.52
  6. Step 6: Final answer
    x = 42,984.42

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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.