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Finding the Fourth Proportional to 50,566, 69,781.12 and 28,210

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Solution

The fourth proportional to 50,566, 69,781.12 and 28,210 is: 38,929.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,566 : 69,781.12 = 28,210 : x
  2. Step 2: Convert to fraction form
    50,566/69,781.12 = 28,210/x
  3. Step 3: Cross multiply
    50,566x = 69,781.12 × 28,210
  4. Step 4: Simplify right side
    50,566x = 1,968,525,395.20
  5. Step 5: Solve for x
    x = 1,968,525,395.20/50,566
  6. Step 6: Final answer
    x = 38,929.82

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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.