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Finding the Fourth Proportional to 130,463.66, 195,696.41 and 35,691.84

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Solution

The fourth proportional to 130,463.66, 195,696.41 and 35,691.84 is: 53,538.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,463.66 : 195,696.41 = 35,691.84 : x
  2. Step 2: Convert to fraction form
    130,463.66/195,696.41 = 35,691.84/x
  3. Step 3: Cross multiply
    130,463.66x = 195,696.41 × 35,691.84
  4. Step 4: Simplify right side
    130,463.66x = 6,984,764,775.84
  5. Step 5: Solve for x
    x = 6,984,764,775.84/130,463.66
  6. Step 6: Final answer
    x = 53,538.01

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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.