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Finding the Fourth Proportional to 50,976, 70,316.40 and 32,080.32

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Solution

The fourth proportional to 50,976, 70,316.40 and 32,080.32 is: 44,251.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,976 : 70,316.40 = 32,080.32 : x
  2. Step 2: Convert to fraction form
    50,976/70,316.40 = 32,080.32/x
  3. Step 3: Cross multiply
    50,976x = 70,316.40 × 32,080.32
  4. Step 4: Simplify right side
    50,976x = 2,255,772,613.25
  5. Step 5: Solve for x
    x = 2,255,772,613.25/50,976
  6. Step 6: Final answer
    x = 44,251.66

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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.