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Finding the Fourth Proportional to 34,474.40, 51,710.16 and 11,100.32

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Solution

The fourth proportional to 34,474.40, 51,710.16 and 11,100.32 is: 16,650.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,474.40 : 51,710.16 = 11,100.32 : x
  2. Step 2: Convert to fraction form
    34,474.40/51,710.16 = 11,100.32/x
  3. Step 3: Cross multiply
    34,474.40x = 51,710.16 × 11,100.32
  4. Step 4: Simplify right side
    34,474.40x = 573,999,323.25
  5. Step 5: Solve for x
    x = 573,999,323.25/34,474.40
  6. Step 6: Final answer
    x = 16,650.02

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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.