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Finding the Fourth Proportional to 30,474.87, 42,064.34 and 17,733.81

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Solution

The fourth proportional to 30,474.87, 42,064.34 and 17,733.81 is: 24,477.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,474.87 : 42,064.34 = 17,733.81 : x
  2. Step 2: Convert to fraction form
    30,474.87/42,064.34 = 17,733.81/x
  3. Step 3: Cross multiply
    30,474.87x = 42,064.34 × 17,733.81
  4. Step 4: Simplify right side
    30,474.87x = 745,961,013.34
  5. Step 5: Solve for x
    x = 745,961,013.34/30,474.87
  6. Step 6: Final answer
    x = 24,477.91

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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.