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Finding the Fourth Proportional to 31,520.90, 47,301.06 and 12,801.02

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Solution

The fourth proportional to 31,520.90, 47,301.06 and 12,801.02 is: 19,209.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,520.90 : 47,301.06 = 12,801.02 : x
  2. Step 2: Convert to fraction form
    31,520.90/47,301.06 = 12,801.02/x
  3. Step 3: Cross multiply
    31,520.90x = 47,301.06 × 12,801.02
  4. Step 4: Simplify right side
    31,520.90x = 605,501,815.08
  5. Step 5: Solve for x
    x = 605,501,815.08/31,520.90
  6. Step 6: Final answer
    x = 19,209.53

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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.