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Finding the Fourth Proportional to 30,646.87, 45,971.85 and 8,459.75

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Solution

The fourth proportional to 30,646.87, 45,971.85 and 8,459.75 is: 12,690.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,646.87 : 45,971.85 = 8,459.75 : x
  2. Step 2: Convert to fraction form
    30,646.87/45,971.85 = 8,459.75/x
  3. Step 3: Cross multiply
    30,646.87x = 45,971.85 × 8,459.75
  4. Step 4: Simplify right side
    30,646.87x = 388,910,358.04
  5. Step 5: Solve for x
    x = 388,910,358.04/30,646.87
  6. Step 6: Final answer
    x = 12,690.05

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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.