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Finding the Fourth Proportional to 51,686.41, 71,323.19 and 29,330.41

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Solution

The fourth proportional to 51,686.41, 71,323.19 and 29,330.41 is: 40,473.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,686.41 : 71,323.19 = 29,330.41 : x
  2. Step 2: Convert to fraction form
    51,686.41/71,323.19 = 29,330.41/x
  3. Step 3: Cross multiply
    51,686.41x = 71,323.19 × 29,330.41
  4. Step 4: Simplify right side
    51,686.41x = 2,091,938,258.56
  5. Step 5: Solve for x
    x = 2,091,938,258.56/51,686.41
  6. Step 6: Final answer
    x = 40,473.66

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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.