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Finding the Fourth Proportional to 94,146.84, 129,922.74 and 51,708.24

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Solution

The fourth proportional to 94,146.84, 129,922.74 and 51,708.24 is: 71,357.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,146.84 : 129,922.74 = 51,708.24 : x
  2. Step 2: Convert to fraction form
    94,146.84/129,922.74 = 51,708.24/x
  3. Step 3: Cross multiply
    94,146.84x = 129,922.74 × 51,708.24
  4. Step 4: Simplify right side
    94,146.84x = 6,718,076,221.38
  5. Step 5: Solve for x
    x = 6,718,076,221.38/94,146.84
  6. Step 6: Final answer
    x = 71,357.43

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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.