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Finding the Fourth Proportional to 35,488, 53,241 and 13,301.44

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Solution

The fourth proportional to 35,488, 53,241 and 13,301.44 is: 19,955.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,488 : 53,241 = 13,301.44 : x
  2. Step 2: Convert to fraction form
    35,488/53,241 = 13,301.44/x
  3. Step 3: Cross multiply
    35,488x = 53,241 × 13,301.44
  4. Step 4: Simplify right side
    35,488x = 708,181,967.04
  5. Step 5: Solve for x
    x = 708,181,967.04/35,488
  6. Step 6: Final answer
    x = 19,955.53

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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.