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Finding the Fourth Proportional to 71,932.94, 99,276.41 and 41,315.63

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Solution

The fourth proportional to 71,932.94, 99,276.41 and 41,315.63 is: 57,020.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,932.94 : 99,276.41 = 41,315.63 : x
  2. Step 2: Convert to fraction form
    71,932.94/99,276.41 = 41,315.63/x
  3. Step 3: Cross multiply
    71,932.94x = 99,276.41 × 41,315.63
  4. Step 4: Simplify right side
    71,932.94x = 4,101,666,926.91
  5. Step 5: Solve for x
    x = 4,101,666,926.91/71,932.94
  6. Step 6: Final answer
    x = 57,020.70

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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.