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Finding the Fourth Proportional to 50,548, 69,756.24 and 28,192

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Solution

The fourth proportional to 50,548, 69,756.24 and 28,192 is: 38,904.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,548 : 69,756.24 = 28,192 : x
  2. Step 2: Convert to fraction form
    50,548/69,756.24 = 28,192/x
  3. Step 3: Cross multiply
    50,548x = 69,756.24 × 28,192
  4. Step 4: Simplify right side
    50,548x = 1,966,567,918.08
  5. Step 5: Solve for x
    x = 1,966,567,918.08/50,548
  6. Step 6: Final answer
    x = 38,904.96

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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.