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Finding the Fourth Proportional to 45,653.63, 63,002.00 and 27,745.28

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Solution

The fourth proportional to 45,653.63, 63,002.00 and 27,745.28 is: 38,288.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,653.63 : 63,002.00 = 27,745.28 : x
  2. Step 2: Convert to fraction form
    45,653.63/63,002.00 = 27,745.28/x
  3. Step 3: Cross multiply
    45,653.63x = 63,002.00 × 27,745.28
  4. Step 4: Simplify right side
    45,653.63x = 1,748,008,475.56
  5. Step 5: Solve for x
    x = 1,748,008,475.56/45,653.63
  6. Step 6: Final answer
    x = 38,288.49

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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.