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Finding the Fourth Proportional to 35,805.63, 53,704.20 and 9,512.40

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Solution

The fourth proportional to 35,805.63, 53,704.20 and 9,512.40 is: 14,267.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,805.63 : 53,704.20 = 9,512.40 : x
  2. Step 2: Convert to fraction form
    35,805.63/53,704.20 = 9,512.40/x
  3. Step 3: Cross multiply
    35,805.63x = 53,704.20 × 9,512.40
  4. Step 4: Simplify right side
    35,805.63x = 510,855,832.08
  5. Step 5: Solve for x
    x = 510,855,832.08/35,805.63
  6. Step 6: Final answer
    x = 14,267.47

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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.