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Finding the Fourth Proportional to 114,001.83, 171,021.12 and 35,116.02

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Solution

The fourth proportional to 114,001.83, 171,021.12 and 35,116.02 is: 52,679.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,001.83 : 171,021.12 = 35,116.02 : x
  2. Step 2: Convert to fraction form
    114,001.83/171,021.12 = 35,116.02/x
  3. Step 3: Cross multiply
    114,001.83x = 171,021.12 × 35,116.02
  4. Step 4: Simplify right side
    114,001.83x = 6,005,581,070.34
  5. Step 5: Solve for x
    x = 6,005,581,070.34/114,001.83
  6. Step 6: Final answer
    x = 52,679.69

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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.