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Finding the Fourth Proportional to 30,632.81, 45,952.40 and 8,446.19

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Solution

The fourth proportional to 30,632.81, 45,952.40 and 8,446.19 is: 12,670.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,632.81 : 45,952.40 = 8,446.19 : x
  2. Step 2: Convert to fraction form
    30,632.81/45,952.40 = 8,446.19/x
  3. Step 3: Cross multiply
    30,632.81x = 45,952.40 × 8,446.19
  4. Step 4: Simplify right side
    30,632.81x = 388,122,492.71
  5. Step 5: Solve for x
    x = 388,122,492.71/30,632.81
  6. Step 6: Final answer
    x = 12,670.16

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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.