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Finding the Fourth Proportional to 75,570.54, 113,406.75 and 31,196.31

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Solution

The fourth proportional to 75,570.54, 113,406.75 and 31,196.31 is: 46,815.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,570.54 : 113,406.75 = 31,196.31 : x
  2. Step 2: Convert to fraction form
    75,570.54/113,406.75 = 31,196.31/x
  3. Step 3: Cross multiply
    75,570.54x = 113,406.75 × 31,196.31
  4. Step 4: Simplify right side
    75,570.54x = 3,537,872,129.09
  5. Step 5: Solve for x
    x = 3,537,872,129.09/75,570.54
  6. Step 6: Final answer
    x = 46,815.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.