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Finding the Fourth Proportional to 68,037.96, 102,057.65 and 23,666.16

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Solution

The fourth proportional to 68,037.96, 102,057.65 and 23,666.16 is: 35,499.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,037.96 : 102,057.65 = 23,666.16 : x
  2. Step 2: Convert to fraction form
    68,037.96/102,057.65 = 23,666.16/x
  3. Step 3: Cross multiply
    68,037.96x = 102,057.65 × 23,666.16
  4. Step 4: Simplify right side
    68,037.96x = 2,415,312,674.12
  5. Step 5: Solve for x
    x = 2,415,312,674.12/68,037.96
  6. Step 6: Final answer
    x = 35,499.49

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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.