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Finding the Fourth Proportional to 52,983, 73,126.26 and 30,627

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Solution

The fourth proportional to 52,983, 73,126.26 and 30,627 is: 42,270.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,983 : 73,126.26 = 30,627 : x
  2. Step 2: Convert to fraction form
    52,983/73,126.26 = 30,627/x
  3. Step 3: Cross multiply
    52,983x = 73,126.26 × 30,627
  4. Step 4: Simplify right side
    52,983x = 2,239,637,965.02
  5. Step 5: Solve for x
    x = 2,239,637,965.02/52,983
  6. Step 6: Final answer
    x = 42,270.88

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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.