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Finding the Fourth Proportional to 114,710.05, 172,065.12 and 35,824.60

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Solution

The fourth proportional to 114,710.05, 172,065.12 and 35,824.60 is: 53,736.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,710.05 : 172,065.12 = 35,824.60 : x
  2. Step 2: Convert to fraction form
    114,710.05/172,065.12 = 35,824.60/x
  3. Step 3: Cross multiply
    114,710.05x = 172,065.12 × 35,824.60
  4. Step 4: Simplify right side
    114,710.05x = 6,164,164,097.95
  5. Step 5: Solve for x
    x = 6,164,164,097.95/114,710.05
  6. Step 6: Final answer
    x = 53,736.91

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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.