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Finding the Fourth Proportional to 50,412, 69,568.56 and 28,061.28

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Solution

The fourth proportional to 50,412, 69,568.56 and 28,061.28 is: 38,724.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,412 : 69,568.56 = 28,061.28 : x
  2. Step 2: Convert to fraction form
    50,412/69,568.56 = 28,061.28/x
  3. Step 3: Cross multiply
    50,412x = 69,568.56 × 28,061.28
  4. Step 4: Simplify right side
    50,412x = 1,952,182,841.36
  5. Step 5: Solve for x
    x = 1,952,182,841.36/50,412
  6. Step 6: Final answer
    x = 38,724.57

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1.5x scale

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.