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Finding the Fourth Proportional to 56,644.32, 78,162.28 and 31,146.48

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Solution

The fourth proportional to 56,644.32, 78,162.28 and 31,146.48 is: 42,978.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,644.32 : 78,162.28 = 31,146.48 : x
  2. Step 2: Convert to fraction form
    56,644.32/78,162.28 = 31,146.48/x
  3. Step 3: Cross multiply
    56,644.32x = 78,162.28 × 31,146.48
  4. Step 4: Simplify right side
    56,644.32x = 2,434,479,890.77
  5. Step 5: Solve for x
    x = 2,434,479,890.77/56,644.32
  6. Step 6: Final answer
    x = 42,978.36

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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.