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Finding the Fourth Proportional to 51,612.52, 71,199.01 and 33,718

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Solution

The fourth proportional to 51,612.52, 71,199.01 and 33,718 is: 46,513.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,612.52 : 71,199.01 = 33,718 : x
  2. Step 2: Convert to fraction form
    51,612.52/71,199.01 = 33,718/x
  3. Step 3: Cross multiply
    51,612.52x = 71,199.01 × 33,718
  4. Step 4: Simplify right side
    51,612.52x = 2,400,688,219.18
  5. Step 5: Solve for x
    x = 2,400,688,219.18/51,612.52
  6. Step 6: Final answer
    x = 46,513.68

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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.