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Finding the Fourth Proportional to 56,348.44, 77,762.04 and 30,855.88

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Solution

The fourth proportional to 56,348.44, 77,762.04 and 30,855.88 is: 42,581.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,348.44 : 77,762.04 = 30,855.88 : x
  2. Step 2: Convert to fraction form
    56,348.44/77,762.04 = 30,855.88/x
  3. Step 3: Cross multiply
    56,348.44x = 77,762.04 × 30,855.88
  4. Step 4: Simplify right side
    56,348.44x = 2,399,416,174.80
  5. Step 5: Solve for x
    x = 2,399,416,174.80/56,348.44
  6. Step 6: Final answer
    x = 42,581.77

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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.