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Finding the Fourth Proportional to 45,407.44, 62,667.80 and 27,502

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Solution

The fourth proportional to 45,407.44, 62,667.80 and 27,502 is: 37,956.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,407.44 : 62,667.80 = 27,502 : x
  2. Step 2: Convert to fraction form
    45,407.44/62,667.80 = 27,502/x
  3. Step 3: Cross multiply
    45,407.44x = 62,667.80 × 27,502
  4. Step 4: Simplify right side
    45,407.44x = 1,723,489,835.60
  5. Step 5: Solve for x
    x = 1,723,489,835.60/45,407.44
  6. Step 6: Final answer
    x = 37,956.11

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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.