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Finding the Fourth Proportional to 114,978.83, 172,496.02 and 36,093.06

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Solution

The fourth proportional to 114,978.83, 172,496.02 and 36,093.06 is: 54,148.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,978.83 : 172,496.02 = 36,093.06 : x
  2. Step 2: Convert to fraction form
    114,978.83/172,496.02 = 36,093.06/x
  3. Step 3: Cross multiply
    114,978.83x = 172,496.02 × 36,093.06
  4. Step 4: Simplify right side
    114,978.83x = 6,225,909,109.39
  5. Step 5: Solve for x
    x = 6,225,909,109.39/114,978.83
  6. Step 6: Final answer
    x = 54,148.31

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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.