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Finding the Fourth Proportional to 47,643.09, 71,459.13 and 12,585.48

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Solution

The fourth proportional to 47,643.09, 71,459.13 and 12,585.48 is: 18,876.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,643.09 : 71,459.13 = 12,585.48 : x
  2. Step 2: Convert to fraction form
    47,643.09/71,459.13 = 12,585.48/x
  3. Step 3: Cross multiply
    47,643.09x = 71,459.13 × 12,585.48
  4. Step 4: Simplify right side
    47,643.09x = 899,347,451.43
  5. Step 5: Solve for x
    x = 899,347,451.43/47,643.09
  6. Step 6: Final answer
    x = 18,876.77

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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.