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Finding the Fourth Proportional to 57,804.17, 86,713.19 and 20,356.50

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Solution

The fourth proportional to 57,804.17, 86,713.19 and 20,356.50 is: 30,537.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,804.17 : 86,713.19 = 20,356.50 : x
  2. Step 2: Convert to fraction form
    57,804.17/86,713.19 = 20,356.50/x
  3. Step 3: Cross multiply
    57,804.17x = 86,713.19 × 20,356.50
  4. Step 4: Simplify right side
    57,804.17x = 1,765,176,886.34
  5. Step 5: Solve for x
    x = 1,765,176,886.34/57,804.17
  6. Step 6: Final answer
    x = 30,537.19

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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.