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Finding the Fourth Proportional to 37,829.82, 56,753.16 and 11,536.62

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Solution

The fourth proportional to 37,829.82, 56,753.16 and 11,536.62 is: 17,307.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,829.82 : 56,753.16 = 11,536.62 : x
  2. Step 2: Convert to fraction form
    37,829.82/56,753.16 = 11,536.62/x
  3. Step 3: Cross multiply
    37,829.82x = 56,753.16 × 11,536.62
  4. Step 4: Simplify right side
    37,829.82x = 654,739,640.72
  5. Step 5: Solve for x
    x = 654,739,640.72/37,829.82
  6. Step 6: Final answer
    x = 17,307.50

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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.