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Finding the Fourth Proportional to 51,095.88, 70,512.84 and 29,871

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Solution

The fourth proportional to 51,095.88, 70,512.84 and 29,871 is: 41,222.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,095.88 : 70,512.84 = 29,871 : x
  2. Step 2: Convert to fraction form
    51,095.88/70,512.84 = 29,871/x
  3. Step 3: Cross multiply
    51,095.88x = 70,512.84 × 29,871
  4. Step 4: Simplify right side
    51,095.88x = 2,106,289,043.64
  5. Step 5: Solve for x
    x = 2,106,289,043.64/51,095.88
  6. Step 6: Final answer
    x = 41,222.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.