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Finding the Fourth Proportional to 50,875.96, 70,208.82 and 28,218.42

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Solution

The fourth proportional to 50,875.96, 70,208.82 and 28,218.42 is: 38,941.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,875.96 : 70,208.82 = 28,218.42 : x
  2. Step 2: Convert to fraction form
    50,875.96/70,208.82 = 28,218.42/x
  3. Step 3: Cross multiply
    50,875.96x = 70,208.82 × 28,218.42
  4. Step 4: Simplify right side
    50,875.96x = 1,981,181,970.46
  5. Step 5: Solve for x
    x = 1,981,181,970.46/50,875.96
  6. Step 6: Final answer
    x = 38,941.42

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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.