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Finding the Fourth Proportional to 30,882.96, 46,326.06 and 9,825.30

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Solution

The fourth proportional to 30,882.96, 46,326.06 and 9,825.30 is: 14,738.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,882.96 : 46,326.06 = 9,825.30 : x
  2. Step 2: Convert to fraction form
    30,882.96/46,326.06 = 9,825.30/x
  3. Step 3: Cross multiply
    30,882.96x = 46,326.06 × 9,825.30
  4. Step 4: Simplify right side
    30,882.96x = 455,167,437.32
  5. Step 5: Solve for x
    x = 455,167,437.32/30,882.96
  6. Step 6: Final answer
    x = 14,738.47

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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.