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Finding the Fourth Proportional to 76,438.49, 114,661.71 and 23,129.10

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Solution

The fourth proportional to 76,438.49, 114,661.71 and 23,129.10 is: 34,694.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,438.49 : 114,661.71 = 23,129.10 : x
  2. Step 2: Convert to fraction form
    76,438.49/114,661.71 = 23,129.10/x
  3. Step 3: Cross multiply
    76,438.49x = 114,661.71 × 23,129.10
  4. Step 4: Simplify right side
    76,438.49x = 2,652,022,156.76
  5. Step 5: Solve for x
    x = 2,652,022,156.76/76,438.49
  6. Step 6: Final answer
    x = 34,694.85

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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.