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Finding the Fourth Proportional to 32,406.50, 48,609.75 and 10,518.50

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Solution

The fourth proportional to 32,406.50, 48,609.75 and 10,518.50 is: 15,777.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,406.50 : 48,609.75 = 10,518.50 : x
  2. Step 2: Convert to fraction form
    32,406.50/48,609.75 = 10,518.50/x
  3. Step 3: Cross multiply
    32,406.50x = 48,609.75 × 10,518.50
  4. Step 4: Simplify right side
    32,406.50x = 511,301,655.38
  5. Step 5: Solve for x
    x = 511,301,655.38/32,406.50
  6. Step 6: Final answer
    x = 15,777.75

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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.