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Finding the Fourth Proportional to 50,381, 75,574.62 and 15,323.24

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Solution

The fourth proportional to 50,381, 75,574.62 and 15,323.24 is: 22,985.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,381 : 75,574.62 = 15,323.24 : x
  2. Step 2: Convert to fraction form
    50,381/75,574.62 = 15,323.24/x
  3. Step 3: Cross multiply
    50,381x = 75,574.62 × 15,323.24
  4. Step 4: Simplify right side
    50,381x = 1,158,048,040.17
  5. Step 5: Solve for x
    x = 1,158,048,040.17/50,381
  6. Step 6: Final answer
    x = 22,985.81

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1.5x scale

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.