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Finding the Fourth Proportional to 55,710.84, 83,619.30 and 34,586.94

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Solution

The fourth proportional to 55,710.84, 83,619.30 and 34,586.94 is: 51,913.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,710.84 : 83,619.30 = 34,586.94 : x
  2. Step 2: Convert to fraction form
    55,710.84/83,619.30 = 34,586.94/x
  3. Step 3: Cross multiply
    55,710.84x = 83,619.30 × 34,586.94
  4. Step 4: Simplify right side
    55,710.84x = 2,892,135,711.94
  5. Step 5: Solve for x
    x = 2,892,135,711.94/55,710.84
  6. Step 6: Final answer
    x = 51,913.34

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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.