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Finding the Fourth Proportional to 35,648.37, 53,484.71 and 13,468.14

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Solution

The fourth proportional to 35,648.37, 53,484.71 and 13,468.14 is: 20,206.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,648.37 : 53,484.71 = 13,468.14 : x
  2. Step 2: Convert to fraction form
    35,648.37/53,484.71 = 13,468.14/x
  3. Step 3: Cross multiply
    35,648.37x = 53,484.71 × 13,468.14
  4. Step 4: Simplify right side
    35,648.37x = 720,339,494.80
  5. Step 5: Solve for x
    x = 720,339,494.80/35,648.37
  6. Step 6: Final answer
    x = 20,206.80

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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.