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Finding the Fourth Proportional to 34,575.24, 47,712.60 and 21,168.84

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Solution

The fourth proportional to 34,575.24, 47,712.60 and 21,168.84 is: 29,212.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,575.24 : 47,712.60 = 21,168.84 : x
  2. Step 2: Convert to fraction form
    34,575.24/47,712.60 = 21,168.84/x
  3. Step 3: Cross multiply
    34,575.24x = 47,712.60 × 21,168.84
  4. Step 4: Simplify right side
    34,575.24x = 1,010,020,395.38
  5. Step 5: Solve for x
    x = 1,010,020,395.38/34,575.24
  6. Step 6: Final answer
    x = 29,212.25

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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.