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Finding the Fourth Proportional to 55,273.29, 82,909.59 and 15,830.40

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Solution

The fourth proportional to 55,273.29, 82,909.59 and 15,830.40 is: 23,745.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,273.29 : 82,909.59 = 15,830.40 : x
  2. Step 2: Convert to fraction form
    55,273.29/82,909.59 = 15,830.40/x
  3. Step 3: Cross multiply
    55,273.29x = 82,909.59 × 15,830.40
  4. Step 4: Simplify right side
    55,273.29x = 1,312,491,973.54
  5. Step 5: Solve for x
    x = 1,312,491,973.54/55,273.29
  6. Step 6: Final answer
    x = 23,745.50

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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.