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Finding the Fourth Proportional to 30,645.30, 45,967.04 and 8,460.03

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Solution

The fourth proportional to 30,645.30, 45,967.04 and 8,460.03 is: 12,689.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,645.30 : 45,967.04 = 8,460.03 : x
  2. Step 2: Convert to fraction form
    30,645.30/45,967.04 = 8,460.03/x
  3. Step 3: Cross multiply
    30,645.30x = 45,967.04 × 8,460.03
  4. Step 4: Simplify right side
    30,645.30x = 388,882,495.11
  5. Step 5: Solve for x
    x = 388,882,495.11/30,645.30
  6. Step 6: Final answer
    x = 12,689.79

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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.