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Finding the Fourth Proportional to 56,348.82, 77,762.38 and 30,855.24

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Solution

The fourth proportional to 56,348.82, 77,762.38 and 30,855.24 is: 42,580.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,348.82 : 77,762.38 = 30,855.24 : x
  2. Step 2: Convert to fraction form
    56,348.82/77,762.38 = 30,855.24/x
  3. Step 3: Cross multiply
    56,348.82x = 77,762.38 × 30,855.24
  4. Step 4: Simplify right side
    56,348.82x = 2,399,376,897.87
  5. Step 5: Solve for x
    x = 2,399,376,897.87/56,348.82
  6. Step 6: Final answer
    x = 42,580.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.