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Finding the Fourth Proportional to 101,541.99, 152,359.65 and 38,384.05

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Solution

The fourth proportional to 101,541.99, 152,359.65 and 38,384.05 is: 57,593.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,541.99 : 152,359.65 = 38,384.05 : x
  2. Step 2: Convert to fraction form
    101,541.99/152,359.65 = 38,384.05/x
  3. Step 3: Cross multiply
    101,541.99x = 152,359.65 × 38,384.05
  4. Step 4: Simplify right side
    101,541.99x = 5,848,180,423.58
  5. Step 5: Solve for x
    x = 5,848,180,423.58/101,541.99
  6. Step 6: Final answer
    x = 57,593.71

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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.