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Finding the Fourth Proportional to 52,262, 78,406.02 and 15,326

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Solution

The fourth proportional to 52,262, 78,406.02 and 15,326 is: 22,992.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,262 : 78,406.02 = 15,326 : x
  2. Step 2: Convert to fraction form
    52,262/78,406.02 = 15,326/x
  3. Step 3: Cross multiply
    52,262x = 78,406.02 × 15,326
  4. Step 4: Simplify right side
    52,262x = 1,201,650,662.52
  5. Step 5: Solve for x
    x = 1,201,650,662.52/52,262
  6. Step 6: Final answer
    x = 22,992.82

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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.