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Finding the Fourth Proportional to 114,010, 171,037.68 and 35,120.86

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Solution

The fourth proportional to 114,010, 171,037.68 and 35,120.86 is: 52,688.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,010 : 171,037.68 = 35,120.86 : x
  2. Step 2: Convert to fraction form
    114,010/171,037.68 = 35,120.86/x
  3. Step 3: Cross multiply
    114,010x = 171,037.68 × 35,120.86
  4. Step 4: Simplify right side
    114,010x = 6,006,990,414.00
  5. Step 5: Solve for x
    x = 6,006,990,414.00/114,010
  6. Step 6: Final answer
    x = 52,688.28

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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.