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Finding the Fourth Proportional to 32,606.42, 48,903.15 and 15,959.30

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Solution

The fourth proportional to 32,606.42, 48,903.15 and 15,959.30 is: 23,935.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,606.42 : 48,903.15 = 15,959.30 : x
  2. Step 2: Convert to fraction form
    32,606.42/48,903.15 = 15,959.30/x
  3. Step 3: Cross multiply
    32,606.42x = 48,903.15 × 15,959.30
  4. Step 4: Simplify right side
    32,606.42x = 780,460,041.80
  5. Step 5: Solve for x
    x = 780,460,041.80/32,606.42
  6. Step 6: Final answer
    x = 23,935.78

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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.