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Finding the Fourth Proportional to 37,689.40, 56,535 and 11,394.04

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Solution

The fourth proportional to 37,689.40, 56,535 and 11,394.04 is: 17,091.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,689.40 : 56,535 = 11,394.04 : x
  2. Step 2: Convert to fraction form
    37,689.40/56,535 = 11,394.04/x
  3. Step 3: Cross multiply
    37,689.40x = 56,535 × 11,394.04
  4. Step 4: Simplify right side
    37,689.40x = 644,162,051.40
  5. Step 5: Solve for x
    x = 644,162,051.40/37,689.40
  6. Step 6: Final answer
    x = 17,091.33

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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.