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Finding the Fourth Proportional to 35,838.34, 53,735.64 and 14,771.86

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Solution

The fourth proportional to 35,838.34, 53,735.64 and 14,771.86 is: 22,148.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,838.34 : 53,735.64 = 14,771.86 : x
  2. Step 2: Convert to fraction form
    35,838.34/53,735.64 = 14,771.86/x
  3. Step 3: Cross multiply
    35,838.34x = 53,735.64 × 14,771.86
  4. Step 4: Simplify right side
    35,838.34x = 793,775,351.09
  5. Step 5: Solve for x
    x = 793,775,351.09/35,838.34
  6. Step 6: Final answer
    x = 22,148.78

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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.