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Finding the Fourth Proportional to 50,733, 70,011.54 and 28,377

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Solution

The fourth proportional to 50,733, 70,011.54 and 28,377 is: 39,160.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,733 : 70,011.54 = 28,377 : x
  2. Step 2: Convert to fraction form
    50,733/70,011.54 = 28,377/x
  3. Step 3: Cross multiply
    50,733x = 70,011.54 × 28,377
  4. Step 4: Simplify right side
    50,733x = 1,986,717,470.58
  5. Step 5: Solve for x
    x = 1,986,717,470.58/50,733
  6. Step 6: Final answer
    x = 39,160.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.