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Finding the Fourth Proportional to 32,309.70, 48,465.63 and 8,934.18

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Solution

The fourth proportional to 32,309.70, 48,465.63 and 8,934.18 is: 13,401.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,309.70 : 48,465.63 = 8,934.18 : x
  2. Step 2: Convert to fraction form
    32,309.70/48,465.63 = 8,934.18/x
  3. Step 3: Cross multiply
    32,309.70x = 48,465.63 × 8,934.18
  4. Step 4: Simplify right side
    32,309.70x = 433,000,662.23
  5. Step 5: Solve for x
    x = 433,000,662.23/32,309.70
  6. Step 6: Final answer
    x = 13,401.57

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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.