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Finding the Fourth Proportional to 30,920.49, 46,384.38 and 9,853.20

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Solution

The fourth proportional to 30,920.49, 46,384.38 and 9,853.20 is: 14,780.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,920.49 : 46,384.38 = 9,853.20 : x
  2. Step 2: Convert to fraction form
    30,920.49/46,384.38 = 9,853.20/x
  3. Step 3: Cross multiply
    30,920.49x = 46,384.38 × 9,853.20
  4. Step 4: Simplify right side
    30,920.49x = 457,034,573.02
  5. Step 5: Solve for x
    x = 457,034,573.02/30,920.49
  6. Step 6: Final answer
    x = 14,780.96

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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.