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Finding the Fourth Proportional to 32,412.84, 48,624.74 and 10,225.73

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Solution

The fourth proportional to 32,412.84, 48,624.74 and 10,225.73 is: 15,340.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,412.84 : 48,624.74 = 10,225.73 : x
  2. Step 2: Convert to fraction form
    32,412.84/48,624.74 = 10,225.73/x
  3. Step 3: Cross multiply
    32,412.84x = 48,624.74 × 10,225.73
  4. Step 4: Simplify right side
    32,412.84x = 497,223,168.31
  5. Step 5: Solve for x
    x = 497,223,168.31/32,412.84
  6. Step 6: Final answer
    x = 15,340.31

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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.