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Finding the Fourth Proportional to 30,200.96, 45,280.76 and 15,381.20

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Solution

The fourth proportional to 30,200.96, 45,280.76 and 15,381.20 is: 23,061.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,200.96 : 45,280.76 = 15,381.20 : x
  2. Step 2: Convert to fraction form
    30,200.96/45,280.76 = 15,381.20/x
  3. Step 3: Cross multiply
    30,200.96x = 45,280.76 × 15,381.20
  4. Step 4: Simplify right side
    30,200.96x = 696,472,425.71
  5. Step 5: Solve for x
    x = 696,472,425.71/30,200.96
  6. Step 6: Final answer
    x = 23,061.27

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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.