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Finding the Fourth Proportional to 51,732, 77,598 and 14,796

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Solution

The fourth proportional to 51,732, 77,598 and 14,796 is: 22,194

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,732 : 77,598 = 14,796 : x
  2. Step 2: Convert to fraction form
    51,732/77,598 = 14,796/x
  3. Step 3: Cross multiply
    51,732x = 77,598 × 14,796
  4. Step 4: Simplify right side
    51,732x = 1,148,140,008
  5. Step 5: Solve for x
    x = 1,148,140,008/51,732
  6. Step 6: Final answer
    x = 22,194

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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.