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Finding the Fourth Proportional to 115,130.94, 172,446.44 and 55,842

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Solution

The fourth proportional to 115,130.94, 172,446.44 and 55,842 is: 83,641.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,130.94 : 172,446.44 = 55,842 : x
  2. Step 2: Convert to fraction form
    115,130.94/172,446.44 = 55,842/x
  3. Step 3: Cross multiply
    115,130.94x = 172,446.44 × 55,842
  4. Step 4: Simplify right side
    115,130.94x = 9,629,753,823.27
  5. Step 5: Solve for x
    x = 9,629,753,823.27/115,130.94
  6. Step 6: Final answer
    x = 83,641.75

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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.