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Finding the Fourth Proportional to 50,184, 75,527.76 and 37,768.32

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Solution

The fourth proportional to 50,184, 75,527.76 and 37,768.32 is: 56,841.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,184 : 75,527.76 = 37,768.32 : x
  2. Step 2: Convert to fraction form
    50,184/75,527.76 = 37,768.32/x
  3. Step 3: Cross multiply
    50,184x = 75,527.76 × 37,768.32
  4. Step 4: Simplify right side
    50,184x = 2,852,556,608.56
  5. Step 5: Solve for x
    x = 2,852,556,608.56/50,184
  6. Step 6: Final answer
    x = 56,841.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.