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Finding the Fourth Proportional to 38,464.29, 53,075.94 and 21,469.47

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Solution

The fourth proportional to 38,464.29, 53,075.94 and 21,469.47 is: 29,625.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,464.29 : 53,075.94 = 21,469.47 : x
  2. Step 2: Convert to fraction form
    38,464.29/53,075.94 = 21,469.47/x
  3. Step 3: Cross multiply
    38,464.29x = 53,075.94 × 21,469.47
  4. Step 4: Simplify right side
    38,464.29x = 1,139,512,301.55
  5. Step 5: Solve for x
    x = 1,139,512,301.55/38,464.29
  6. Step 6: Final answer
    x = 29,625.20

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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.