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Finding the Fourth Proportional to 55,218, 76,196.04 and 31,345.68

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Solution

The fourth proportional to 55,218, 76,196.04 and 31,345.68 is: 43,254.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,218 : 76,196.04 = 31,345.68 : x
  2. Step 2: Convert to fraction form
    55,218/76,196.04 = 31,345.68/x
  3. Step 3: Cross multiply
    55,218x = 76,196.04 × 31,345.68
  4. Step 4: Simplify right side
    55,218x = 2,388,416,687.11
  5. Step 5: Solve for x
    x = 2,388,416,687.11/55,218
  6. Step 6: Final answer
    x = 43,254.31

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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.