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Finding the Fourth Proportional to 56,738.57, 78,298.56 and 31,244.40

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Solution

The fourth proportional to 56,738.57, 78,298.56 and 31,244.40 is: 43,116.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,738.57 : 78,298.56 = 31,244.40 : x
  2. Step 2: Convert to fraction form
    56,738.57/78,298.56 = 31,244.40/x
  3. Step 3: Cross multiply
    56,738.57x = 78,298.56 × 31,244.40
  4. Step 4: Simplify right side
    56,738.57x = 2,446,391,528.06
  5. Step 5: Solve for x
    x = 2,446,391,528.06/56,738.57
  6. Step 6: Final answer
    x = 43,116.91

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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.