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Finding the Fourth Proportional to 51,606.40, 71,222.40 and 29,248

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Solution

The fourth proportional to 51,606.40, 71,222.40 and 29,248 is: 40,365.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,606.40 : 71,222.40 = 29,248 : x
  2. Step 2: Convert to fraction form
    51,606.40/71,222.40 = 29,248/x
  3. Step 3: Cross multiply
    51,606.40x = 71,222.40 × 29,248
  4. Step 4: Simplify right side
    51,606.40x = 2,083,112,755.20
  5. Step 5: Solve for x
    x = 2,083,112,755.20/51,606.40
  6. Step 6: Final answer
    x = 40,365.40

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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.