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Finding the Fourth Proportional to 35,534.85, 53,302.17 and 14,469.93

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Solution

The fourth proportional to 35,534.85, 53,302.17 and 14,469.93 is: 21,704.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,534.85 : 53,302.17 = 14,469.93 : x
  2. Step 2: Convert to fraction form
    35,534.85/53,302.17 = 14,469.93/x
  3. Step 3: Cross multiply
    35,534.85x = 53,302.17 × 14,469.93
  4. Step 4: Simplify right side
    35,534.85x = 771,278,668.75
  5. Step 5: Solve for x
    x = 771,278,668.75/35,534.85
  6. Step 6: Final answer
    x = 21,704.85

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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.