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Finding the Fourth Proportional to 31,978.80, 47,903.40 and 18,111.60

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Solution

The fourth proportional to 31,978.80, 47,903.40 and 18,111.60 is: 27,130.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,978.80 : 47,903.40 = 18,111.60 : x
  2. Step 2: Convert to fraction form
    31,978.80/47,903.40 = 18,111.60/x
  3. Step 3: Cross multiply
    31,978.80x = 47,903.40 × 18,111.60
  4. Step 4: Simplify right side
    31,978.80x = 867,607,219.44
  5. Step 5: Solve for x
    x = 867,607,219.44/31,978.80
  6. Step 6: Final answer
    x = 27,130.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.