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Finding the Fourth Proportional to 73,903.19, 110,826.16 and 23,971.28

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Solution

The fourth proportional to 73,903.19, 110,826.16 and 23,971.28 is: 35,947.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,903.19 : 110,826.16 = 23,971.28 : x
  2. Step 2: Convert to fraction form
    73,903.19/110,826.16 = 23,971.28/x
  3. Step 3: Cross multiply
    73,903.19x = 110,826.16 × 23,971.28
  4. Step 4: Simplify right side
    73,903.19x = 2,656,644,298.63
  5. Step 5: Solve for x
    x = 2,656,644,298.63/73,903.19
  6. Step 6: Final answer
    x = 35,947.63

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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.