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Finding the Fourth Proportional to 30,563.01, 45,829.40 and 10,838.61

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Solution

The fourth proportional to 30,563.01, 45,829.40 and 10,838.61 is: 16,252.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,563.01 : 45,829.40 = 10,838.61 : x
  2. Step 2: Convert to fraction form
    30,563.01/45,829.40 = 10,838.61/x
  3. Step 3: Cross multiply
    30,563.01x = 45,829.40 × 10,838.61
  4. Step 4: Simplify right side
    30,563.01x = 496,726,938.94
  5. Step 5: Solve for x
    x = 496,726,938.94/30,563.01
  6. Step 6: Final answer
    x = 16,252.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.