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Finding the Fourth Proportional to 34,774.52, 47,984.47 and 20,624.63

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Solution

The fourth proportional to 34,774.52, 47,984.47 and 20,624.63 is: 28,459.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,774.52 : 47,984.47 = 20,624.63 : x
  2. Step 2: Convert to fraction form
    34,774.52/47,984.47 = 20,624.63/x
  3. Step 3: Cross multiply
    34,774.52x = 47,984.47 × 20,624.63
  4. Step 4: Simplify right side
    34,774.52x = 989,661,648.01
  5. Step 5: Solve for x
    x = 989,661,648.01/34,774.52
  6. Step 6: Final answer
    x = 28,459.39

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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.