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Finding the Fourth Proportional to 54,415.01, 75,071.24 and 31,429.64

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Solution

The fourth proportional to 54,415.01, 75,071.24 and 31,429.64 is: 43,360.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,415.01 : 75,071.24 = 31,429.64 : x
  2. Step 2: Convert to fraction form
    54,415.01/75,071.24 = 31,429.64/x
  3. Step 3: Cross multiply
    54,415.01x = 75,071.24 × 31,429.64
  4. Step 4: Simplify right side
    54,415.01x = 2,359,461,515.05
  5. Step 5: Solve for x
    x = 2,359,461,515.05/54,415.01
  6. Step 6: Final answer
    x = 43,360.49

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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.