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Finding the Fourth Proportional to 52,984, 73,127.64 and 30,628

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Solution

The fourth proportional to 52,984, 73,127.64 and 30,628 is: 42,272.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,984 : 73,127.64 = 30,628 : x
  2. Step 2: Convert to fraction form
    52,984/73,127.64 = 30,628/x
  3. Step 3: Cross multiply
    52,984x = 73,127.64 × 30,628
  4. Step 4: Simplify right side
    52,984x = 2,239,753,357.92
  5. Step 5: Solve for x
    x = 2,239,753,357.92/52,984
  6. Step 6: Final answer
    x = 42,272.26

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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.