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Finding the Fourth Proportional to 45,732.96, 63,123.12 and 27,840.42

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Solution

The fourth proportional to 45,732.96, 63,123.12 and 27,840.42 is: 38,426.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,732.96 : 63,123.12 = 27,840.42 : x
  2. Step 2: Convert to fraction form
    45,732.96/63,123.12 = 27,840.42/x
  3. Step 3: Cross multiply
    45,732.96x = 63,123.12 × 27,840.42
  4. Step 4: Simplify right side
    45,732.96x = 1,757,374,172.51
  5. Step 5: Solve for x
    x = 1,757,374,172.51/45,732.96
  6. Step 6: Final answer
    x = 38,426.86

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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.