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Finding the Fourth Proportional to 30,763.52, 42,453.14 and 17,336.16

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Solution

The fourth proportional to 30,763.52, 42,453.14 and 17,336.16 is: 23,923.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,763.52 : 42,453.14 = 17,336.16 : x
  2. Step 2: Convert to fraction form
    30,763.52/42,453.14 = 17,336.16/x
  3. Step 3: Cross multiply
    30,763.52x = 42,453.14 × 17,336.16
  4. Step 4: Simplify right side
    30,763.52x = 735,974,427.54
  5. Step 5: Solve for x
    x = 735,974,427.54/30,763.52
  6. Step 6: Final answer
    x = 23,923.61

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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.