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Finding the Fourth Proportional to 71,228.15, 106,802.76 and 29,137.76

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Solution

The fourth proportional to 71,228.15, 106,802.76 and 29,137.76 is: 43,690.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,228.15 : 106,802.76 = 29,137.76 : x
  2. Step 2: Convert to fraction form
    71,228.15/106,802.76 = 29,137.76/x
  3. Step 3: Cross multiply
    71,228.15x = 106,802.76 × 29,137.76
  4. Step 4: Simplify right side
    71,228.15x = 3,111,993,188.22
  5. Step 5: Solve for x
    x = 3,111,993,188.22/71,228.15
  6. Step 6: Final answer
    x = 43,690.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.