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Finding the Fourth Proportional to 30,642.68, 45,966.68 and 8,456.06

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Solution

The fourth proportional to 30,642.68, 45,966.68 and 8,456.06 is: 12,684.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,642.68 : 45,966.68 = 8,456.06 : x
  2. Step 2: Convert to fraction form
    30,642.68/45,966.68 = 8,456.06/x
  3. Step 3: Cross multiply
    30,642.68x = 45,966.68 × 8,456.06
  4. Step 4: Simplify right side
    30,642.68x = 388,697,076.72
  5. Step 5: Solve for x
    x = 388,697,076.72/30,642.68
  6. Step 6: Final answer
    x = 12,684.83

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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.