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Finding the Fourth Proportional to 29,051.94, 40,098.51 and 17,730.80

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Solution

The fourth proportional to 29,051.94, 40,098.51 and 17,730.80 is: 24,472.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,051.94 : 40,098.51 = 17,730.80 : x
  2. Step 2: Convert to fraction form
    29,051.94/40,098.51 = 17,730.80/x
  3. Step 3: Cross multiply
    29,051.94x = 40,098.51 × 17,730.80
  4. Step 4: Simplify right side
    29,051.94x = 710,978,661.11
  5. Step 5: Solve for x
    x = 710,978,661.11/29,051.94
  6. Step 6: Final answer
    x = 24,472.67

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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.