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Finding the Fourth Proportional to 50,164, 69,232.08 and 28,657.15

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Solution

The fourth proportional to 50,164, 69,232.08 and 28,657.15 is: 39,550.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,164 : 69,232.08 = 28,657.15 : x
  2. Step 2: Convert to fraction form
    50,164/69,232.08 = 28,657.15/x
  3. Step 3: Cross multiply
    50,164x = 69,232.08 × 28,657.15
  4. Step 4: Simplify right side
    50,164x = 1,983,994,101.37
  5. Step 5: Solve for x
    x = 1,983,994,101.37/50,164
  6. Step 6: Final answer
    x = 39,550.16

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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.