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Finding the Fourth Proportional to 32,142.51, 44,378.58 and 20,047.70

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Solution

The fourth proportional to 32,142.51, 44,378.58 and 20,047.70 is: 27,679.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,142.51 : 44,378.58 = 20,047.70 : x
  2. Step 2: Convert to fraction form
    32,142.51/44,378.58 = 20,047.70/x
  3. Step 3: Cross multiply
    32,142.51x = 44,378.58 × 20,047.70
  4. Step 4: Simplify right side
    32,142.51x = 889,688,236.37
  5. Step 5: Solve for x
    x = 889,688,236.37/32,142.51
  6. Step 6: Final answer
    x = 27,679.49

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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.