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Finding the Fourth Proportional to 30,540.29, 45,840.00 and 14,756.42

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Solution

The fourth proportional to 30,540.29, 45,840.00 and 14,756.42 is: 22,148.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,540.29 : 45,840.00 = 14,756.42 : x
  2. Step 2: Convert to fraction form
    30,540.29/45,840.00 = 14,756.42/x
  3. Step 3: Cross multiply
    30,540.29x = 45,840.00 × 14,756.42
  4. Step 4: Simplify right side
    30,540.29x = 676,434,219.02
  5. Step 5: Solve for x
    x = 676,434,219.02/30,540.29
  6. Step 6: Final answer
    x = 22,148.92

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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.