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Finding the Fourth Proportional to 57,563.84, 86,186.32 and 29,423.30

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Solution

The fourth proportional to 57,563.84, 86,186.32 and 29,423.30 is: 44,053.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,563.84 : 86,186.32 = 29,423.30 : x
  2. Step 2: Convert to fraction form
    57,563.84/86,186.32 = 29,423.30/x
  3. Step 3: Cross multiply
    57,563.84x = 86,186.32 × 29,423.30
  4. Step 4: Simplify right side
    57,563.84x = 2,535,885,949.26
  5. Step 5: Solve for x
    x = 2,535,885,949.26/57,563.84
  6. Step 6: Final answer
    x = 44,053.45

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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.