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Finding the Fourth Proportional to 55,317, 76,340.16 and 31,125.54

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Solution

The fourth proportional to 55,317, 76,340.16 and 31,125.54 is: 42,954.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,317 : 76,340.16 = 31,125.54 : x
  2. Step 2: Convert to fraction form
    55,317/76,340.16 = 31,125.54/x
  3. Step 3: Cross multiply
    55,317x = 76,340.16 × 31,125.54
  4. Step 4: Simplify right side
    55,317x = 2,376,128,703.69
  5. Step 5: Solve for x
    x = 2,376,128,703.69/55,317
  6. Step 6: Final answer
    x = 42,954.76

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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.