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Finding the Fourth Proportional to 56,207.68, 77,566.44 and 31,057

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Solution

The fourth proportional to 56,207.68, 77,566.44 and 31,057 is: 42,858.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,207.68 : 77,566.44 = 31,057 : x
  2. Step 2: Convert to fraction form
    56,207.68/77,566.44 = 31,057/x
  3. Step 3: Cross multiply
    56,207.68x = 77,566.44 × 31,057
  4. Step 4: Simplify right side
    56,207.68x = 2,408,980,927.08
  5. Step 5: Solve for x
    x = 2,408,980,927.08/56,207.68
  6. Step 6: Final answer
    x = 42,858.57

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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.