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Finding the Fourth Proportional to 56,738.76, 78,298.88 and 31,244.64

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Solution

The fourth proportional to 56,738.76, 78,298.88 and 31,244.64 is: 43,117.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,738.76 : 78,298.88 = 31,244.64 : x
  2. Step 2: Convert to fraction form
    56,738.76/78,298.88 = 31,244.64/x
  3. Step 3: Cross multiply
    56,738.76x = 78,298.88 × 31,244.64
  4. Step 4: Simplify right side
    56,738.76x = 2,446,420,318.00
  5. Step 5: Solve for x
    x = 2,446,420,318.00/56,738.76
  6. Step 6: Final answer
    x = 43,117.27

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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.