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Finding the Fourth Proportional to 114,703.50, 172,055.28 and 35,824.50

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Solution

The fourth proportional to 114,703.50, 172,055.28 and 35,824.50 is: 53,736.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,703.50 : 172,055.28 = 35,824.50 : x
  2. Step 2: Convert to fraction form
    114,703.50/172,055.28 = 35,824.50/x
  3. Step 3: Cross multiply
    114,703.50x = 172,055.28 × 35,824.50
  4. Step 4: Simplify right side
    114,703.50x = 6,163,794,378.36
  5. Step 5: Solve for x
    x = 6,163,794,378.36/114,703.50
  6. Step 6: Final answer
    x = 53,736.76

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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.