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Finding the Fourth Proportional to 28,291.82, 42,444.29 and 8,300.50

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Solution

The fourth proportional to 28,291.82, 42,444.29 and 8,300.50 is: 12,452.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,291.82 : 42,444.29 = 8,300.50 : x
  2. Step 2: Convert to fraction form
    28,291.82/42,444.29 = 8,300.50/x
  3. Step 3: Cross multiply
    28,291.82x = 42,444.29 × 8,300.50
  4. Step 4: Simplify right side
    28,291.82x = 352,308,825.22
  5. Step 5: Solve for x
    x = 352,308,825.22/28,291.82
  6. Step 6: Final answer
    x = 12,452.68

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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.