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Finding the Fourth Proportional to 51,856, 77,784 and 14,920

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Solution

The fourth proportional to 51,856, 77,784 and 14,920 is: 22,380

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,856 : 77,784 = 14,920 : x
  2. Step 2: Convert to fraction form
    51,856/77,784 = 14,920/x
  3. Step 3: Cross multiply
    51,856x = 77,784 × 14,920
  4. Step 4: Simplify right side
    51,856x = 1,160,537,280
  5. Step 5: Solve for x
    x = 1,160,537,280/51,856
  6. Step 6: Final answer
    x = 22,380

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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.