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Finding the Fourth Proportional to 35,202.64, 52,489.94 and 31,290.65

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Solution

The fourth proportional to 35,202.64, 52,489.94 and 31,290.65 is: 46,656.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,202.64 : 52,489.94 = 31,290.65 : x
  2. Step 2: Convert to fraction form
    35,202.64/52,489.94 = 31,290.65/x
  3. Step 3: Cross multiply
    35,202.64x = 52,489.94 × 31,290.65
  4. Step 4: Simplify right side
    35,202.64x = 1,642,444,078.61
  5. Step 5: Solve for x
    x = 1,642,444,078.61/35,202.64
  6. Step 6: Final answer
    x = 46,656.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.