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Finding the Fourth Proportional to 34,532, 47,650.48 and 21,106.52

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Solution

The fourth proportional to 34,532, 47,650.48 and 21,106.52 is: 29,124.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,532 : 47,650.48 = 21,106.52 : x
  2. Step 2: Convert to fraction form
    34,532/47,650.48 = 21,106.52/x
  3. Step 3: Cross multiply
    34,532x = 47,650.48 × 21,106.52
  4. Step 4: Simplify right side
    34,532x = 1,005,735,809.13
  5. Step 5: Solve for x
    x = 1,005,735,809.13/34,532
  6. Step 6: Final answer
    x = 29,124.75

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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.