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Finding the Fourth Proportional to 35,815.26, 53,722.81 and 9,520

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Solution

The fourth proportional to 35,815.26, 53,722.81 and 9,520 is: 14,279.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,815.26 : 53,722.81 = 9,520 : x
  2. Step 2: Convert to fraction form
    35,815.26/53,722.81 = 9,520/x
  3. Step 3: Cross multiply
    35,815.26x = 53,722.81 × 9,520
  4. Step 4: Simplify right side
    35,815.26x = 511,441,151.20
  5. Step 5: Solve for x
    x = 511,441,151.20/35,815.26
  6. Step 6: Final answer
    x = 14,279.98

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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.