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Finding the Fourth Proportional to 32,488.42, 48,734.07 and 9,114.34

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Solution

The fourth proportional to 32,488.42, 48,734.07 and 9,114.34 is: 13,671.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,488.42 : 48,734.07 = 9,114.34 : x
  2. Step 2: Convert to fraction form
    32,488.42/48,734.07 = 9,114.34/x
  3. Step 3: Cross multiply
    32,488.42x = 48,734.07 × 9,114.34
  4. Step 4: Simplify right side
    32,488.42x = 444,178,883.56
  5. Step 5: Solve for x
    x = 444,178,883.56/32,488.42
  6. Step 6: Final answer
    x = 13,671.91

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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.