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Finding the Fourth Proportional to 29,762.32, 41,070.71 and 16,333.80

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Solution

The fourth proportional to 29,762.32, 41,070.71 and 16,333.80 is: 22,539.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,762.32 : 41,070.71 = 16,333.80 : x
  2. Step 2: Convert to fraction form
    29,762.32/41,070.71 = 16,333.80/x
  3. Step 3: Cross multiply
    29,762.32x = 41,070.71 × 16,333.80
  4. Step 4: Simplify right side
    29,762.32x = 670,840,665.57
  5. Step 5: Solve for x
    x = 670,840,665.57/29,762.32
  6. Step 6: Final answer
    x = 22,539.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.