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Finding the Fourth Proportional to 34,347.20, 51,520.80 and 21,225.20

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Solution

The fourth proportional to 34,347.20, 51,520.80 and 21,225.20 is: 31,837.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,347.20 : 51,520.80 = 21,225.20 : x
  2. Step 2: Convert to fraction form
    34,347.20/51,520.80 = 21,225.20/x
  3. Step 3: Cross multiply
    34,347.20x = 51,520.80 × 21,225.20
  4. Step 4: Simplify right side
    34,347.20x = 1,093,539,284.16
  5. Step 5: Solve for x
    x = 1,093,539,284.16/34,347.20
  6. Step 6: Final answer
    x = 31,837.80

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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.