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Finding the Fourth Proportional to 52,164, 78,246 and 15,228

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Solution

The fourth proportional to 52,164, 78,246 and 15,228 is: 22,842

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,164 : 78,246 = 15,228 : x
  2. Step 2: Convert to fraction form
    52,164/78,246 = 15,228/x
  3. Step 3: Cross multiply
    52,164x = 78,246 × 15,228
  4. Step 4: Simplify right side
    52,164x = 1,191,530,088
  5. Step 5: Solve for x
    x = 1,191,530,088/52,164
  6. Step 6: Final answer
    x = 22,842

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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.