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Finding the Fourth Proportional to 51,036.84, 70,407.90 and 29,803.50

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Solution

The fourth proportional to 51,036.84, 70,407.90 and 29,803.50 is: 41,115.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,036.84 : 70,407.90 = 29,803.50 : x
  2. Step 2: Convert to fraction form
    51,036.84/70,407.90 = 29,803.50/x
  3. Step 3: Cross multiply
    51,036.84x = 70,407.90 × 29,803.50
  4. Step 4: Simplify right side
    51,036.84x = 2,098,401,847.65
  5. Step 5: Solve for x
    x = 2,098,401,847.65/51,036.84
  6. Step 6: Final answer
    x = 41,115.43

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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.