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Finding the Fourth Proportional to 56,813.32, 78,405.06 and 31,663

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Solution

The fourth proportional to 56,813.32, 78,405.06 and 31,663 is: 43,696.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,813.32 : 78,405.06 = 31,663 : x
  2. Step 2: Convert to fraction form
    56,813.32/78,405.06 = 31,663/x
  3. Step 3: Cross multiply
    56,813.32x = 78,405.06 × 31,663
  4. Step 4: Simplify right side
    56,813.32x = 2,482,539,414.78
  5. Step 5: Solve for x
    x = 2,482,539,414.78/56,813.32
  6. Step 6: Final answer
    x = 43,696.43

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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.