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Finding the Fourth Proportional to 72,286.56, 108,418.68 and 19,700.28

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Solution

The fourth proportional to 72,286.56, 108,418.68 and 19,700.28 is: 29,547.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,286.56 : 108,418.68 = 19,700.28 : x
  2. Step 2: Convert to fraction form
    72,286.56/108,418.68 = 19,700.28/x
  3. Step 3: Cross multiply
    72,286.56x = 108,418.68 × 19,700.28
  4. Step 4: Simplify right side
    72,286.56x = 2,135,878,353.23
  5. Step 5: Solve for x
    x = 2,135,878,353.23/72,286.56
  6. Step 6: Final answer
    x = 29,547.38

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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.