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Finding the Fourth Proportional to 132,638.64, 198,938.34 and 48,379.08

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Solution

The fourth proportional to 132,638.64, 198,938.34 and 48,379.08 is: 72,561.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,638.64 : 198,938.34 = 48,379.08 : x
  2. Step 2: Convert to fraction form
    132,638.64/198,938.34 = 48,379.08/x
  3. Step 3: Cross multiply
    132,638.64x = 198,938.34 × 48,379.08
  4. Step 4: Simplify right side
    132,638.64x = 9,624,453,865.93
  5. Step 5: Solve for x
    x = 9,624,453,865.93/132,638.64
  6. Step 6: Final answer
    x = 72,561.46

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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.