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Finding the Fourth Proportional to 123,523.52, 185,285.28 and 30,029

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Solution

The fourth proportional to 123,523.52, 185,285.28 and 30,029 is: 45,043.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,523.52 : 185,285.28 = 30,029 : x
  2. Step 2: Convert to fraction form
    123,523.52/185,285.28 = 30,029/x
  3. Step 3: Cross multiply
    123,523.52x = 185,285.28 × 30,029
  4. Step 4: Simplify right side
    123,523.52x = 5,563,931,673.12
  5. Step 5: Solve for x
    x = 5,563,931,673.12/123,523.52
  6. Step 6: Final answer
    x = 45,043.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.