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Finding the Fourth Proportional to 50,413, 69,569.94 and 28,062.28

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Solution

The fourth proportional to 50,413, 69,569.94 and 28,062.28 is: 38,725.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,413 : 69,569.94 = 28,062.28 : x
  2. Step 2: Convert to fraction form
    50,413/69,569.94 = 28,062.28/x
  3. Step 3: Cross multiply
    50,413x = 69,569.94 × 28,062.28
  4. Step 4: Simplify right side
    50,413x = 1,952,291,135.86
  5. Step 5: Solve for x
    x = 1,952,291,135.86/50,413
  6. Step 6: Final answer
    x = 38,725.95

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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.