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Finding the Fourth Proportional to 57,535.38, 79,357.91 and 38,405.50

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Solution

The fourth proportional to 57,535.38, 79,357.91 and 38,405.50 is: 52,972.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,535.38 : 79,357.91 = 38,405.50 : x
  2. Step 2: Convert to fraction form
    57,535.38/79,357.91 = 38,405.50/x
  3. Step 3: Cross multiply
    57,535.38x = 79,357.91 × 38,405.50
  4. Step 4: Simplify right side
    57,535.38x = 3,047,780,212.51
  5. Step 5: Solve for x
    x = 3,047,780,212.51/57,535.38
  6. Step 6: Final answer
    x = 52,972.28

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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.