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Finding the Fourth Proportional to 30,148, 41,604.74 and 16,719.82

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Solution

The fourth proportional to 30,148, 41,604.74 and 16,719.82 is: 23,073.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,148 : 41,604.74 = 16,719.82 : x
  2. Step 2: Convert to fraction form
    30,148/41,604.74 = 16,719.82/x
  3. Step 3: Cross multiply
    30,148x = 41,604.74 × 16,719.82
  4. Step 4: Simplify right side
    30,148x = 695,623,763.95
  5. Step 5: Solve for x
    x = 695,623,763.95/30,148
  6. Step 6: Final answer
    x = 23,073.63

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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.