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Finding the Fourth Proportional to 30,665.95, 42,319.47 and 17,922.49

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Solution

The fourth proportional to 30,665.95, 42,319.47 and 17,922.49 is: 24,733.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,665.95 : 42,319.47 = 17,922.49 : x
  2. Step 2: Convert to fraction form
    30,665.95/42,319.47 = 17,922.49/x
  3. Step 3: Cross multiply
    30,665.95x = 42,319.47 × 17,922.49
  4. Step 4: Simplify right side
    30,665.95x = 758,470,277.88
  5. Step 5: Solve for x
    x = 758,470,277.88/30,665.95
  6. Step 6: Final answer
    x = 24,733.30

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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.