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Finding the Fourth Proportional to 71,134.84, 106,700.29 and 29,014.74

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Solution

The fourth proportional to 71,134.84, 106,700.29 and 29,014.74 is: 43,521.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,134.84 : 106,700.29 = 29,014.74 : x
  2. Step 2: Convert to fraction form
    71,134.84/106,700.29 = 29,014.74/x
  3. Step 3: Cross multiply
    71,134.84x = 106,700.29 × 29,014.74
  4. Step 4: Simplify right side
    71,134.84x = 3,095,881,099.74
  5. Step 5: Solve for x
    x = 3,095,881,099.74/71,134.84
  6. Step 6: Final answer
    x = 43,521.30

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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.