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Finding the Fourth Proportional to 30,840.52, 46,268.04 and 10,064

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Solution

The fourth proportional to 30,840.52, 46,268.04 and 10,064 is: 15,098.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,840.52 : 46,268.04 = 10,064 : x
  2. Step 2: Convert to fraction form
    30,840.52/46,268.04 = 10,064/x
  3. Step 3: Cross multiply
    30,840.52x = 46,268.04 × 10,064
  4. Step 4: Simplify right side
    30,840.52x = 465,641,554.56
  5. Step 5: Solve for x
    x = 465,641,554.56/30,840.52
  6. Step 6: Final answer
    x = 15,098.37

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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.