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Finding the Fourth Proportional to 35,447.75, 53,180.85 and 13,262.86

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Solution

The fourth proportional to 35,447.75, 53,180.85 and 13,262.86 is: 19,897.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,447.75 : 53,180.85 = 13,262.86 : x
  2. Step 2: Convert to fraction form
    35,447.75/53,180.85 = 13,262.86/x
  3. Step 3: Cross multiply
    35,447.75x = 53,180.85 × 13,262.86
  4. Step 4: Simplify right side
    35,447.75x = 705,330,168.23
  5. Step 5: Solve for x
    x = 705,330,168.23/35,447.75
  6. Step 6: Final answer
    x = 19,897.74

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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.