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Finding the Fourth Proportional to 50,538.47, 75,746.21 and 35,751.65

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Solution

The fourth proportional to 50,538.47, 75,746.21 and 35,751.65 is: 53,583.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,538.47 : 75,746.21 = 35,751.65 : x
  2. Step 2: Convert to fraction form
    50,538.47/75,746.21 = 35,751.65/x
  3. Step 3: Cross multiply
    50,538.47x = 75,746.21 × 35,751.65
  4. Step 4: Simplify right side
    50,538.47x = 2,708,051,431.26
  5. Step 5: Solve for x
    x = 2,708,051,431.26/50,538.47
  6. Step 6: Final answer
    x = 53,583.97

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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.