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Finding the Fourth Proportional to 28,658.32, 42,947.44 and 24,419.43

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Solution

The fourth proportional to 28,658.32, 42,947.44 and 24,419.43 is: 36,595.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,658.32 : 42,947.44 = 24,419.43 : x
  2. Step 2: Convert to fraction form
    28,658.32/42,947.44 = 24,419.43/x
  3. Step 3: Cross multiply
    28,658.32x = 42,947.44 × 24,419.43
  4. Step 4: Simplify right side
    28,658.32x = 1,048,751,817.40
  5. Step 5: Solve for x
    x = 1,048,751,817.40/28,658.32
  6. Step 6: Final answer
    x = 36,595.02

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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.