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Finding the Fourth Proportional to 35,505.63, 53,255.88 and 9,209.52

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Solution

The fourth proportional to 35,505.63, 53,255.88 and 9,209.52 is: 13,813.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,505.63 : 53,255.88 = 9,209.52 : x
  2. Step 2: Convert to fraction form
    35,505.63/53,255.88 = 9,209.52/x
  3. Step 3: Cross multiply
    35,505.63x = 53,255.88 × 9,209.52
  4. Step 4: Simplify right side
    35,505.63x = 490,461,091.98
  5. Step 5: Solve for x
    x = 490,461,091.98/35,505.63
  6. Step 6: Final answer
    x = 13,813.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.