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Finding the Fourth Proportional to 68,538.54, 102,523.50 and 64,339.50

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Solution

The fourth proportional to 68,538.54, 102,523.50 and 64,339.50 is: 96,242.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,538.54 : 102,523.50 = 64,339.50 : x
  2. Step 2: Convert to fraction form
    68,538.54/102,523.50 = 64,339.50/x
  3. Step 3: Cross multiply
    68,538.54x = 102,523.50 × 64,339.50
  4. Step 4: Simplify right side
    68,538.54x = 6,596,310,406.55
  5. Step 5: Solve for x
    x = 6,596,310,406.55/68,538.54
  6. Step 6: Final answer
    x = 96,242.35

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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.