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Finding the Fourth Proportional to 35,687.50, 49,248.03 and 20,580.82

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Solution

The fourth proportional to 35,687.50, 49,248.03 and 20,580.82 is: 28,401.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,687.50 : 49,248.03 = 20,580.82 : x
  2. Step 2: Convert to fraction form
    35,687.50/49,248.03 = 20,580.82/x
  3. Step 3: Cross multiply
    35,687.50x = 49,248.03 × 20,580.82
  4. Step 4: Simplify right side
    35,687.50x = 1,013,564,840.78
  5. Step 5: Solve for x
    x = 1,013,564,840.78/35,687.50
  6. Step 6: Final answer
    x = 28,401.12

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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.