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Finding the Fourth Proportional to 32,282.50, 44,552.28 and 19,709.68

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Solution

The fourth proportional to 32,282.50, 44,552.28 and 19,709.68 is: 27,200.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,282.50 : 44,552.28 = 19,709.68 : x
  2. Step 2: Convert to fraction form
    32,282.50/44,552.28 = 19,709.68/x
  3. Step 3: Cross multiply
    32,282.50x = 44,552.28 × 19,709.68
  4. Step 4: Simplify right side
    32,282.50x = 878,111,182.07
  5. Step 5: Solve for x
    x = 878,111,182.07/32,282.50
  6. Step 6: Final answer
    x = 27,200.84

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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.