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Finding the Fourth Proportional to 31,412.84, 43,352.90 and 17,985.32

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Solution

The fourth proportional to 31,412.84, 43,352.90 and 17,985.32 is: 24,821.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,412.84 : 43,352.90 = 17,985.32 : x
  2. Step 2: Convert to fraction form
    31,412.84/43,352.90 = 17,985.32/x
  3. Step 3: Cross multiply
    31,412.84x = 43,352.90 × 17,985.32
  4. Step 4: Simplify right side
    31,412.84x = 779,715,779.43
  5. Step 5: Solve for x
    x = 779,715,779.43/31,412.84
  6. Step 6: Final answer
    x = 24,821.56

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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.