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Finding the Fourth Proportional to 30,262.29, 45,367.92 and 14,458.38

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Solution

The fourth proportional to 30,262.29, 45,367.92 and 14,458.38 is: 21,675.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,262.29 : 45,367.92 = 14,458.38 : x
  2. Step 2: Convert to fraction form
    30,262.29/45,367.92 = 14,458.38/x
  3. Step 3: Cross multiply
    30,262.29x = 45,367.92 × 14,458.38
  4. Step 4: Simplify right side
    30,262.29x = 655,946,627.17
  5. Step 5: Solve for x
    x = 655,946,627.17/30,262.29
  6. Step 6: Final answer
    x = 21,675.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.