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Finding the Fourth Proportional to 45,508.40, 62,776.82 and 28,509

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Solution

The fourth proportional to 45,508.40, 62,776.82 and 28,509 is: 39,326.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,508.40 : 62,776.82 = 28,509 : x
  2. Step 2: Convert to fraction form
    45,508.40/62,776.82 = 28,509/x
  3. Step 3: Cross multiply
    45,508.40x = 62,776.82 × 28,509
  4. Step 4: Simplify right side
    45,508.40x = 1,789,704,361.38
  5. Step 5: Solve for x
    x = 1,789,704,361.38/45,508.40
  6. Step 6: Final answer
    x = 39,326.90

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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.