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Finding the Fourth Proportional to 68,232.50, 102,307.06 and 32,704.69

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Solution

The fourth proportional to 68,232.50, 102,307.06 and 32,704.69 is: 49,037.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,232.50 : 102,307.06 = 32,704.69 : x
  2. Step 2: Convert to fraction form
    68,232.50/102,307.06 = 32,704.69/x
  3. Step 3: Cross multiply
    68,232.50x = 102,307.06 × 32,704.69
  4. Step 4: Simplify right side
    68,232.50x = 3,345,920,682.11
  5. Step 5: Solve for x
    x = 3,345,920,682.11/68,232.50
  6. Step 6: Final answer
    x = 49,037.05

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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.