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Finding the Fourth Proportional to 31,788.42, 47,673.54 and 12,813

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Solution

The fourth proportional to 31,788.42, 47,673.54 and 12,813 is: 19,215.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,788.42 : 47,673.54 = 12,813 : x
  2. Step 2: Convert to fraction form
    31,788.42/47,673.54 = 12,813/x
  3. Step 3: Cross multiply
    31,788.42x = 47,673.54 × 12,813
  4. Step 4: Simplify right side
    31,788.42x = 610,841,068.02
  5. Step 5: Solve for x
    x = 610,841,068.02/31,788.42
  6. Step 6: Final answer
    x = 19,215.84

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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.