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Finding the Fourth Proportional to 30,602.37, 45,898.27 and 8,113.20

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Solution

The fourth proportional to 30,602.37, 45,898.27 and 8,113.20 is: 12,168.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,602.37 : 45,898.27 = 8,113.20 : x
  2. Step 2: Convert to fraction form
    30,602.37/45,898.27 = 8,113.20/x
  3. Step 3: Cross multiply
    30,602.37x = 45,898.27 × 8,113.20
  4. Step 4: Simplify right side
    30,602.37x = 372,381,868.21
  5. Step 5: Solve for x
    x = 372,381,868.21/30,602.37
  6. Step 6: Final answer
    x = 12,168.40

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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.