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Finding the Fourth Proportional to 114,745.10, 172,117.65 and 35,867.30

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Solution

The fourth proportional to 114,745.10, 172,117.65 and 35,867.30 is: 53,800.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,745.10 : 172,117.65 = 35,867.30 : x
  2. Step 2: Convert to fraction form
    114,745.10/172,117.65 = 35,867.30/x
  3. Step 3: Cross multiply
    114,745.10x = 172,117.65 × 35,867.30
  4. Step 4: Simplify right side
    114,745.10x = 6,173,395,387.85
  5. Step 5: Solve for x
    x = 6,173,395,387.85/114,745.10
  6. Step 6: Final answer
    x = 53,800.95

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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.