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Finding the Fourth Proportional to 50,782.88, 70,080.54 and 27,812.72

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Solution

The fourth proportional to 50,782.88, 70,080.54 and 27,812.72 is: 38,381.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,782.88 : 70,080.54 = 27,812.72 : x
  2. Step 2: Convert to fraction form
    50,782.88/70,080.54 = 27,812.72/x
  3. Step 3: Cross multiply
    50,782.88x = 70,080.54 × 27,812.72
  4. Step 4: Simplify right side
    50,782.88x = 1,949,130,436.47
  5. Step 5: Solve for x
    x = 1,949,130,436.47/50,782.88
  6. Step 6: Final answer
    x = 38,381.64

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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.