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Finding the Fourth Proportional to 53,835.46, 80,752.47 and 18,775

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Solution

The fourth proportional to 53,835.46, 80,752.47 and 18,775 is: 28,162.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,835.46 : 80,752.47 = 18,775 : x
  2. Step 2: Convert to fraction form
    53,835.46/80,752.47 = 18,775/x
  3. Step 3: Cross multiply
    53,835.46x = 80,752.47 × 18,775
  4. Step 4: Simplify right side
    53,835.46x = 1,516,127,624.25
  5. Step 5: Solve for x
    x = 1,516,127,624.25/53,835.46
  6. Step 6: Final answer
    x = 28,162.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.