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Finding the Fourth Proportional to 35,339.67, 53,016 and 11,648.63

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Solution

The fourth proportional to 35,339.67, 53,016 and 11,648.63 is: 17,475.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,339.67 : 53,016 = 11,648.63 : x
  2. Step 2: Convert to fraction form
    35,339.67/53,016 = 11,648.63/x
  3. Step 3: Cross multiply
    35,339.67x = 53,016 × 11,648.63
  4. Step 4: Simplify right side
    35,339.67x = 617,563,503
  5. Step 5: Solve for x
    x = 617,563,503/35,339.67
  6. Step 6: Final answer
    x = 17,475.08

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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.