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Finding the Fourth Proportional to 32,291.94, 48,443.40 and 11,233.56

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Solution

The fourth proportional to 32,291.94, 48,443.40 and 11,233.56 is: 16,852.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,291.94 : 48,443.40 = 11,233.56 : x
  2. Step 2: Convert to fraction form
    32,291.94/48,443.40 = 11,233.56/x
  3. Step 3: Cross multiply
    32,291.94x = 48,443.40 × 11,233.56
  4. Step 4: Simplify right side
    32,291.94x = 544,191,840.50
  5. Step 5: Solve for x
    x = 544,191,840.50/32,291.94
  6. Step 6: Final answer
    x = 16,852.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.