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Finding the Fourth Proportional to 56,602.32, 78,111.16 and 31,451.82

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Solution

The fourth proportional to 56,602.32, 78,111.16 and 31,451.82 is: 43,403.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,602.32 : 78,111.16 = 31,451.82 : x
  2. Step 2: Convert to fraction form
    56,602.32/78,111.16 = 31,451.82/x
  3. Step 3: Cross multiply
    56,602.32x = 78,111.16 × 31,451.82
  4. Step 4: Simplify right side
    56,602.32x = 2,456,738,144.31
  5. Step 5: Solve for x
    x = 2,456,738,144.31/56,602.32
  6. Step 6: Final answer
    x = 43,403.49

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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.