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Finding the Fourth Proportional to 114,855.48, 172,218.42 and 35,948.52

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Solution

The fourth proportional to 114,855.48, 172,218.42 and 35,948.52 is: 53,902.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,855.48 : 172,218.42 = 35,948.52 : x
  2. Step 2: Convert to fraction form
    114,855.48/172,218.42 = 35,948.52/x
  3. Step 3: Cross multiply
    114,855.48x = 172,218.42 × 35,948.52
  4. Step 4: Simplify right side
    114,855.48x = 6,190,997,315.74
  5. Step 5: Solve for x
    x = 6,190,997,315.74/114,855.48
  6. Step 6: Final answer
    x = 53,902.50

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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.