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Finding the Fourth Proportional to 35,780.91, 53,665.30 and 9,488.31

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Solution

The fourth proportional to 35,780.91, 53,665.30 and 9,488.31 is: 14,230.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,780.91 : 53,665.30 = 9,488.31 : x
  2. Step 2: Convert to fraction form
    35,780.91/53,665.30 = 9,488.31/x
  3. Step 3: Cross multiply
    35,780.91x = 53,665.30 × 9,488.31
  4. Step 4: Simplify right side
    35,780.91x = 509,193,226.03
  5. Step 5: Solve for x
    x = 509,193,226.03/35,780.91
  6. Step 6: Final answer
    x = 14,230.86

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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.