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Finding the Fourth Proportional to 55,374.10, 76,423.56 and 31,496.16

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Solution

The fourth proportional to 55,374.10, 76,423.56 and 31,496.16 is: 43,468.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,374.10 : 76,423.56 = 31,496.16 : x
  2. Step 2: Convert to fraction form
    55,374.10/76,423.56 = 31,496.16/x
  3. Step 3: Cross multiply
    55,374.10x = 76,423.56 × 31,496.16
  4. Step 4: Simplify right side
    55,374.10x = 2,407,048,673.53
  5. Step 5: Solve for x
    x = 2,407,048,673.53/55,374.10
  6. Step 6: Final answer
    x = 43,468.85

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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.