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Finding the Fourth Proportional to 76,560, 114,840 and 21,156

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Solution

The fourth proportional to 76,560, 114,840 and 21,156 is: 31,734

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,560 : 114,840 = 21,156 : x
  2. Step 2: Convert to fraction form
    76,560/114,840 = 21,156/x
  3. Step 3: Cross multiply
    76,560x = 114,840 × 21,156
  4. Step 4: Simplify right side
    76,560x = 2,429,555,040
  5. Step 5: Solve for x
    x = 2,429,555,040/76,560
  6. Step 6: Final answer
    x = 31,734

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.