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Finding the Fourth Proportional to 32,355.64, 44,677.74 and 21,780.28

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Solution

The fourth proportional to 32,355.64, 44,677.74 and 21,780.28 is: 30,074.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,355.64 : 44,677.74 = 21,780.28 : x
  2. Step 2: Convert to fraction form
    32,355.64/44,677.74 = 21,780.28/x
  3. Step 3: Cross multiply
    32,355.64x = 44,677.74 × 21,780.28
  4. Step 4: Simplify right side
    32,355.64x = 973,093,686.97
  5. Step 5: Solve for x
    x = 973,093,686.97/32,355.64
  6. Step 6: Final answer
    x = 30,074.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.