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Finding the Fourth Proportional to 51,088, 76,632 and 14,152

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Solution

The fourth proportional to 51,088, 76,632 and 14,152 is: 21,228

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,088 : 76,632 = 14,152 : x
  2. Step 2: Convert to fraction form
    51,088/76,632 = 14,152/x
  3. Step 3: Cross multiply
    51,088x = 76,632 × 14,152
  4. Step 4: Simplify right side
    51,088x = 1,084,496,064
  5. Step 5: Solve for x
    x = 1,084,496,064/51,088
  6. Step 6: Final answer
    x = 21,228

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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.