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Finding the Fourth Proportional to 38,357.70, 52,842.87 and 36,586.14

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Solution

The fourth proportional to 38,357.70, 52,842.87 and 36,586.14 is: 50,402.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,357.70 : 52,842.87 = 36,586.14 : x
  2. Step 2: Convert to fraction form
    38,357.70/52,842.87 = 36,586.14/x
  3. Step 3: Cross multiply
    38,357.70x = 52,842.87 × 36,586.14
  4. Step 4: Simplify right side
    38,357.70x = 1,933,316,639.82
  5. Step 5: Solve for x
    x = 1,933,316,639.82/38,357.70
  6. Step 6: Final answer
    x = 50,402.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.