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Finding the Fourth Proportional to 37,906.82, 52,330.16 and 29,389.67

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Solution

The fourth proportional to 37,906.82, 52,330.16 and 29,389.67 is: 40,572.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,906.82 : 52,330.16 = 29,389.67 : x
  2. Step 2: Convert to fraction form
    37,906.82/52,330.16 = 29,389.67/x
  3. Step 3: Cross multiply
    37,906.82x = 52,330.16 × 29,389.67
  4. Step 4: Simplify right side
    37,906.82x = 1,537,966,133.45
  5. Step 5: Solve for x
    x = 1,537,966,133.45/37,906.82
  6. Step 6: Final answer
    x = 40,572.28

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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.