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Finding the Fourth Proportional to 52,804.28, 72,823.38 and 32,657.96

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Solution

The fourth proportional to 52,804.28, 72,823.38 and 32,657.96 is: 45,039.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,804.28 : 72,823.38 = 32,657.96 : x
  2. Step 2: Convert to fraction form
    52,804.28/72,823.38 = 32,657.96/x
  3. Step 3: Cross multiply
    52,804.28x = 72,823.38 × 32,657.96
  4. Step 4: Simplify right side
    52,804.28x = 2,378,263,031.10
  5. Step 5: Solve for x
    x = 2,378,263,031.10/52,804.28
  6. Step 6: Final answer
    x = 45,039.21

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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.