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Finding the Fourth Proportional to 32,537.64, 48,806.46 and 9,164.04

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Solution

The fourth proportional to 32,537.64, 48,806.46 and 9,164.04 is: 13,746.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,537.64 : 48,806.46 = 9,164.04 : x
  2. Step 2: Convert to fraction form
    32,537.64/48,806.46 = 9,164.04/x
  3. Step 3: Cross multiply
    32,537.64x = 48,806.46 × 9,164.04
  4. Step 4: Simplify right side
    32,537.64x = 447,264,351.70
  5. Step 5: Solve for x
    x = 447,264,351.70/32,537.64
  6. Step 6: Final answer
    x = 13,746.06

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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.