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Finding the Fourth Proportional to 32,110, 44,311.80 and 20,932

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Solution

The fourth proportional to 32,110, 44,311.80 and 20,932 is: 28,886.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,110 : 44,311.80 = 20,932 : x
  2. Step 2: Convert to fraction form
    32,110/44,311.80 = 20,932/x
  3. Step 3: Cross multiply
    32,110x = 44,311.80 × 20,932
  4. Step 4: Simplify right side
    32,110x = 927,534,597.60
  5. Step 5: Solve for x
    x = 927,534,597.60/32,110
  6. Step 6: Final answer
    x = 28,886.16

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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.