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Finding the Fourth Proportional to 52,076.34, 71,865.05 and 29,422.67

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Solution

The fourth proportional to 52,076.34, 71,865.05 and 29,422.67 is: 40,603.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,076.34 : 71,865.05 = 29,422.67 : x
  2. Step 2: Convert to fraction form
    52,076.34/71,865.05 = 29,422.67/x
  3. Step 3: Cross multiply
    52,076.34x = 71,865.05 × 29,422.67
  4. Step 4: Simplify right side
    52,076.34x = 2,114,461,429.12
  5. Step 5: Solve for x
    x = 2,114,461,429.12/52,076.34
  6. Step 6: Final answer
    x = 40,603.11

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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.