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Finding the Fourth Proportional to 50,952.68, 70,323.06 and 29,731.89

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Solution

The fourth proportional to 50,952.68, 70,323.06 and 29,731.89 is: 41,034.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,952.68 : 70,323.06 = 29,731.89 : x
  2. Step 2: Convert to fraction form
    50,952.68/70,323.06 = 29,731.89/x
  3. Step 3: Cross multiply
    50,952.68x = 70,323.06 × 29,731.89
  4. Step 4: Simplify right side
    50,952.68x = 2,090,837,484.38
  5. Step 5: Solve for x
    x = 2,090,837,484.38/50,952.68
  6. Step 6: Final answer
    x = 41,034.89

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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.