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Finding the Fourth Proportional to 34,656.16, 47,823.78 and 20,313.99

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Solution

The fourth proportional to 34,656.16, 47,823.78 and 20,313.99 is: 28,032.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,656.16 : 47,823.78 = 20,313.99 : x
  2. Step 2: Convert to fraction form
    34,656.16/47,823.78 = 20,313.99/x
  3. Step 3: Cross multiply
    34,656.16x = 47,823.78 × 20,313.99
  4. Step 4: Simplify right side
    34,656.16x = 971,491,788.68
  5. Step 5: Solve for x
    x = 971,491,788.68/34,656.16
  6. Step 6: Final answer
    x = 28,032.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.