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Finding the Fourth Proportional to 105,477.38, 145,553.18 and 57,721.50

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Solution

The fourth proportional to 105,477.38, 145,553.18 and 57,721.50 is: 79,652.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,477.38 : 145,553.18 = 57,721.50 : x
  2. Step 2: Convert to fraction form
    105,477.38/145,553.18 = 57,721.50/x
  3. Step 3: Cross multiply
    105,477.38x = 145,553.18 × 57,721.50
  4. Step 4: Simplify right side
    105,477.38x = 8,401,548,461.27
  5. Step 5: Solve for x
    x = 8,401,548,461.27/105,477.38
  6. Step 6: Final answer
    x = 79,652.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.