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Finding the Fourth Proportional to 50,031.65, 69,043.59 and 29,900.32

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Solution

The fourth proportional to 50,031.65, 69,043.59 and 29,900.32 is: 41,262.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,031.65 : 69,043.59 = 29,900.32 : x
  2. Step 2: Convert to fraction form
    50,031.65/69,043.59 = 29,900.32/x
  3. Step 3: Cross multiply
    50,031.65x = 69,043.59 × 29,900.32
  4. Step 4: Simplify right side
    50,031.65x = 2,064,425,262.34
  5. Step 5: Solve for x
    x = 2,064,425,262.34/50,031.65
  6. Step 6: Final answer
    x = 41,262.38

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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.