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Finding the Fourth Proportional to 34,534.56, 51,801.84 and 14,800.33

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Solution

The fourth proportional to 34,534.56, 51,801.84 and 14,800.33 is: 22,200.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,534.56 : 51,801.84 = 14,800.33 : x
  2. Step 2: Convert to fraction form
    34,534.56/51,801.84 = 14,800.33/x
  3. Step 3: Cross multiply
    34,534.56x = 51,801.84 × 14,800.33
  4. Step 4: Simplify right side
    34,534.56x = 766,684,326.61
  5. Step 5: Solve for x
    x = 766,684,326.61/34,534.56
  6. Step 6: Final answer
    x = 22,200.50

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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.