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Finding the Fourth Proportional to 56,384.76, 77,813.44 and 31,234.26

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Solution

The fourth proportional to 56,384.76, 77,813.44 and 31,234.26 is: 43,104.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,384.76 : 77,813.44 = 31,234.26 : x
  2. Step 2: Convert to fraction form
    56,384.76/77,813.44 = 31,234.26/x
  3. Step 3: Cross multiply
    56,384.76x = 77,813.44 × 31,234.26
  4. Step 4: Simplify right side
    56,384.76x = 2,430,445,216.45
  5. Step 5: Solve for x
    x = 2,430,445,216.45/56,384.76
  6. Step 6: Final answer
    x = 43,104.65

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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.