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Finding the Fourth Proportional to 32,549.76, 48,824.12 and 10,362.81

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Solution

The fourth proportional to 32,549.76, 48,824.12 and 10,362.81 is: 15,544.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,549.76 : 48,824.12 = 10,362.81 : x
  2. Step 2: Convert to fraction form
    32,549.76/48,824.12 = 10,362.81/x
  3. Step 3: Cross multiply
    32,549.76x = 48,824.12 × 10,362.81
  4. Step 4: Simplify right side
    32,549.76x = 505,955,027.16
  5. Step 5: Solve for x
    x = 505,955,027.16/32,549.76
  6. Step 6: Final answer
    x = 15,544.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.