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Finding the Fourth Proportional to 57,046, 78,725.16 and 31,895.56

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Solution

The fourth proportional to 57,046, 78,725.16 and 31,895.56 is: 44,016.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,046 : 78,725.16 = 31,895.56 : x
  2. Step 2: Convert to fraction form
    57,046/78,725.16 = 31,895.56/x
  3. Step 3: Cross multiply
    57,046x = 78,725.16 × 31,895.56
  4. Step 4: Simplify right side
    57,046x = 2,510,983,064.29
  5. Step 5: Solve for x
    x = 2,510,983,064.29/57,046
  6. Step 6: Final answer
    x = 44,016.81

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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.