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Finding the Fourth Proportional to 30,527.38, 45,782.61 and 8,341.62

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Solution

The fourth proportional to 30,527.38, 45,782.61 and 8,341.62 is: 12,510.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,527.38 : 45,782.61 = 8,341.62 : x
  2. Step 2: Convert to fraction form
    30,527.38/45,782.61 = 8,341.62/x
  3. Step 3: Cross multiply
    30,527.38x = 45,782.61 × 8,341.62
  4. Step 4: Simplify right side
    30,527.38x = 381,901,135.23
  5. Step 5: Solve for x
    x = 381,901,135.23/30,527.38
  6. Step 6: Final answer
    x = 12,510.12

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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.