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Finding the Fourth Proportional to 35,813.26, 53,719.82 and 9,518.00

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Solution

The fourth proportional to 35,813.26, 53,719.82 and 9,518.00 is: 14,276.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,813.26 : 53,719.82 = 9,518.00 : x
  2. Step 2: Convert to fraction form
    35,813.26/53,719.82 = 9,518.00/x
  3. Step 3: Cross multiply
    35,813.26x = 53,719.82 × 9,518.00
  4. Step 4: Simplify right side
    35,813.26x = 511,305,064.87
  5. Step 5: Solve for x
    x = 511,305,064.87/35,813.26
  6. Step 6: Final answer
    x = 14,276.98

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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.