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Finding the Fourth Proportional to 35,334, 53,020.44 and 16,866

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Solution

The fourth proportional to 35,334, 53,020.44 and 16,866 is: 25,308.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,334 : 53,020.44 = 16,866 : x
  2. Step 2: Convert to fraction form
    35,334/53,020.44 = 16,866/x
  3. Step 3: Cross multiply
    35,334x = 53,020.44 × 16,866
  4. Step 4: Simplify right side
    35,334x = 894,242,741.04
  5. Step 5: Solve for x
    x = 894,242,741.04/35,334
  6. Step 6: Final answer
    x = 25,308.28

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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.