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Finding the Fourth Proportional to 71,028.32, 106,590 and 29,475.32

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Solution

The fourth proportional to 71,028.32, 106,590 and 29,475.32 is: 44,232.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,028.32 : 106,590 = 29,475.32 : x
  2. Step 2: Convert to fraction form
    71,028.32/106,590 = 29,475.32/x
  3. Step 3: Cross multiply
    71,028.32x = 106,590 × 29,475.32
  4. Step 4: Simplify right side
    71,028.32x = 3,141,774,358.80
  5. Step 5: Solve for x
    x = 3,141,774,358.80/71,028.32
  6. Step 6: Final answer
    x = 44,232.70

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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.