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Finding the Fourth Proportional to 38,200.96, 57,313.18 and 18,235.93

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Solution

The fourth proportional to 38,200.96, 57,313.18 and 18,235.93 is: 27,359.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,200.96 : 57,313.18 = 18,235.93 : x
  2. Step 2: Convert to fraction form
    38,200.96/57,313.18 = 18,235.93/x
  3. Step 3: Cross multiply
    38,200.96x = 57,313.18 × 18,235.93
  4. Step 4: Simplify right side
    38,200.96x = 1,045,159,047.38
  5. Step 5: Solve for x
    x = 1,045,159,047.38/38,200.96
  6. Step 6: Final answer
    x = 27,359.50

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Why These Related Problems?

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