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Finding the Fourth Proportional to 30,916.35, 46,359.17 and 9,853.65

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Solution

The fourth proportional to 30,916.35, 46,359.17 and 9,853.65 is: 14,775.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,916.35 : 46,359.17 = 9,853.65 : x
  2. Step 2: Convert to fraction form
    30,916.35/46,359.17 = 9,853.65/x
  3. Step 3: Cross multiply
    30,916.35x = 46,359.17 × 9,853.65
  4. Step 4: Simplify right side
    30,916.35x = 456,807,023.15
  5. Step 5: Solve for x
    x = 456,807,023.15/30,916.35
  6. Step 6: Final answer
    x = 14,775.58

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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.