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Finding the Fourth Proportional to 32,423.84, 48,628.78 and 10,238.96

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Solution

The fourth proportional to 32,423.84, 48,628.78 and 10,238.96 is: 15,356.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,423.84 : 48,628.78 = 10,238.96 : x
  2. Step 2: Convert to fraction form
    32,423.84/48,628.78 = 10,238.96/x
  3. Step 3: Cross multiply
    32,423.84x = 48,628.78 × 10,238.96
  4. Step 4: Simplify right side
    32,423.84x = 497,908,133.27
  5. Step 5: Solve for x
    x = 497,908,133.27/32,423.84
  6. Step 6: Final answer
    x = 15,356.24

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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.