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Finding the Fourth Proportional to 96,065.15, 144,097.72 and 32,886.09

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Solution

The fourth proportional to 96,065.15, 144,097.72 and 32,886.09 is: 49,329.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,065.15 : 144,097.72 = 32,886.09 : x
  2. Step 2: Convert to fraction form
    96,065.15/144,097.72 = 32,886.09/x
  3. Step 3: Cross multiply
    96,065.15x = 144,097.72 × 32,886.09
  4. Step 4: Simplify right side
    96,065.15x = 4,738,810,506.50
  5. Step 5: Solve for x
    x = 4,738,810,506.50/96,065.15
  6. Step 6: Final answer
    x = 49,329.14

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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.