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Finding the Fourth Proportional to 132,031, 198,048.12 and 48,925

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Solution

The fourth proportional to 132,031, 198,048.12 and 48,925 is: 73,388.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,031 : 198,048.12 = 48,925 : x
  2. Step 2: Convert to fraction form
    132,031/198,048.12 = 48,925/x
  3. Step 3: Cross multiply
    132,031x = 198,048.12 × 48,925
  4. Step 4: Simplify right side
    132,031x = 9,689,504,271
  5. Step 5: Solve for x
    x = 9,689,504,271/132,031
  6. Step 6: Final answer
    x = 73,388.10

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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.