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Finding the Fourth Proportional to 30,320.64, 45,405 and 19,193.76

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Solution

The fourth proportional to 30,320.64, 45,405 and 19,193.76 is: 28,742.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,320.64 : 45,405 = 19,193.76 : x
  2. Step 2: Convert to fraction form
    30,320.64/45,405 = 19,193.76/x
  3. Step 3: Cross multiply
    30,320.64x = 45,405 × 19,193.76
  4. Step 4: Simplify right side
    30,320.64x = 871,492,672.80
  5. Step 5: Solve for x
    x = 871,492,672.80/30,320.64
  6. Step 6: Final answer
    x = 28,742.56

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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.