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Finding the Fourth Proportional to 32,604.32, 48,888.12 and 10,412.48

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Solution

The fourth proportional to 32,604.32, 48,888.12 and 10,412.48 is: 15,612.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,604.32 : 48,888.12 = 10,412.48 : x
  2. Step 2: Convert to fraction form
    32,604.32/48,888.12 = 10,412.48/x
  3. Step 3: Cross multiply
    32,604.32x = 48,888.12 × 10,412.48
  4. Step 4: Simplify right side
    32,604.32x = 509,046,571.74
  5. Step 5: Solve for x
    x = 509,046,571.74/32,604.32
  6. Step 6: Final answer
    x = 15,612.86

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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.