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Finding the Fourth Proportional to 114,752.80, 172,129.34 and 35,867.44

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Solution

The fourth proportional to 114,752.80, 172,129.34 and 35,867.44 is: 53,801.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,752.80 : 172,129.34 = 35,867.44 : x
  2. Step 2: Convert to fraction form
    114,752.80/172,129.34 = 35,867.44/x
  3. Step 3: Cross multiply
    114,752.80x = 172,129.34 × 35,867.44
  4. Step 4: Simplify right side
    114,752.80x = 6,173,838,774.69
  5. Step 5: Solve for x
    x = 6,173,838,774.69/114,752.80
  6. Step 6: Final answer
    x = 53,801.20

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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.