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Finding the Fourth Proportional to 32,030.96, 44,178.40 and 27,562.20

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Solution

The fourth proportional to 32,030.96, 44,178.40 and 27,562.20 is: 38,014.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,030.96 : 44,178.40 = 27,562.20 : x
  2. Step 2: Convert to fraction form
    32,030.96/44,178.40 = 27,562.20/x
  3. Step 3: Cross multiply
    32,030.96x = 44,178.40 × 27,562.20
  4. Step 4: Simplify right side
    32,030.96x = 1,217,653,896.48
  5. Step 5: Solve for x
    x = 1,217,653,896.48/32,030.96
  6. Step 6: Final answer
    x = 38,014.90

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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.