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Finding the Fourth Proportional to 73,598.14, 110,320.53 and 34,122.70

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Solution

The fourth proportional to 73,598.14, 110,320.53 and 34,122.70 is: 51,148.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,598.14 : 110,320.53 = 34,122.70 : x
  2. Step 2: Convert to fraction form
    73,598.14/110,320.53 = 34,122.70/x
  3. Step 3: Cross multiply
    73,598.14x = 110,320.53 × 34,122.70
  4. Step 4: Simplify right side
    73,598.14x = 3,764,434,349.03
  5. Step 5: Solve for x
    x = 3,764,434,349.03/73,598.14
  6. Step 6: Final answer
    x = 51,148.50

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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.