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Finding the Fourth Proportional to 114,817.83, 172,305.09 and 39,937.23

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Solution

The fourth proportional to 114,817.83, 172,305.09 and 39,937.23 is: 59,933.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,817.83 : 172,305.09 = 39,937.23 : x
  2. Step 2: Convert to fraction form
    114,817.83/172,305.09 = 39,937.23/x
  3. Step 3: Cross multiply
    114,817.83x = 172,305.09 × 39,937.23
  4. Step 4: Simplify right side
    114,817.83x = 6,881,388,009.50
  5. Step 5: Solve for x
    x = 6,881,388,009.50/114,817.83
  6. Step 6: Final answer
    x = 59,933.10

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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.