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Finding the Fourth Proportional to 31,505.20, 47,257.80 and 14,009.20

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Solution

The fourth proportional to 31,505.20, 47,257.80 and 14,009.20 is: 21,013.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,505.20 : 47,257.80 = 14,009.20 : x
  2. Step 2: Convert to fraction form
    31,505.20/47,257.80 = 14,009.20/x
  3. Step 3: Cross multiply
    31,505.20x = 47,257.80 × 14,009.20
  4. Step 4: Simplify right side
    31,505.20x = 662,043,971.76
  5. Step 5: Solve for x
    x = 662,043,971.76/31,505.20
  6. Step 6: Final answer
    x = 21,013.80

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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.