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Finding the Fourth Proportional to 56,838.36, 78,433.74 and 31,343.88

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Solution

The fourth proportional to 56,838.36, 78,433.74 and 31,343.88 is: 43,252.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,838.36 : 78,433.74 = 31,343.88 : x
  2. Step 2: Convert to fraction form
    56,838.36/78,433.74 = 31,343.88/x
  3. Step 3: Cross multiply
    56,838.36x = 78,433.74 × 31,343.88
  4. Step 4: Simplify right side
    56,838.36x = 2,458,417,734.51
  5. Step 5: Solve for x
    x = 2,458,417,734.51/56,838.36
  6. Step 6: Final answer
    x = 43,252.79

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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.