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Finding the Fourth Proportional to 35,408.83, 53,124.48 and 10,449

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Solution

The fourth proportional to 35,408.83, 53,124.48 and 10,449 is: 15,676.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,408.83 : 53,124.48 = 10,449 : x
  2. Step 2: Convert to fraction form
    35,408.83/53,124.48 = 10,449/x
  3. Step 3: Cross multiply
    35,408.83x = 53,124.48 × 10,449
  4. Step 4: Simplify right side
    35,408.83x = 555,097,691.52
  5. Step 5: Solve for x
    x = 555,097,691.52/35,408.83
  6. Step 6: Final answer
    x = 15,676.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.