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Finding the Fourth Proportional to 45,101.34, 62,241.75 and 27,877.50

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Solution

The fourth proportional to 45,101.34, 62,241.75 and 27,877.50 is: 38,472.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,101.34 : 62,241.75 = 27,877.50 : x
  2. Step 2: Convert to fraction form
    45,101.34/62,241.75 = 27,877.50/x
  3. Step 3: Cross multiply
    45,101.34x = 62,241.75 × 27,877.50
  4. Step 4: Simplify right side
    45,101.34x = 1,735,144,385.63
  5. Step 5: Solve for x
    x = 1,735,144,385.63/45,101.34
  6. Step 6: Final answer
    x = 38,472.12

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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.