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Finding the Fourth Proportional to 72,855.24, 109,218.02 and 28,471.89

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Solution

The fourth proportional to 72,855.24, 109,218.02 and 28,471.89 is: 42,682.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,855.24 : 109,218.02 = 28,471.89 : x
  2. Step 2: Convert to fraction form
    72,855.24/109,218.02 = 28,471.89/x
  3. Step 3: Cross multiply
    72,855.24x = 109,218.02 × 28,471.89
  4. Step 4: Simplify right side
    72,855.24x = 3,109,643,653.32
  5. Step 5: Solve for x
    x = 3,109,643,653.32/72,855.24
  6. Step 6: Final answer
    x = 42,682.50

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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.