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Finding the Fourth Proportional to 73,384.50, 110,077.02 and 17,980.50

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Solution

The fourth proportional to 73,384.50, 110,077.02 and 17,980.50 is: 26,970.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,384.50 : 110,077.02 = 17,980.50 : x
  2. Step 2: Convert to fraction form
    73,384.50/110,077.02 = 17,980.50/x
  3. Step 3: Cross multiply
    73,384.50x = 110,077.02 × 17,980.50
  4. Step 4: Simplify right side
    73,384.50x = 1,979,239,858.11
  5. Step 5: Solve for x
    x = 1,979,239,858.11/73,384.50
  6. Step 6: Final answer
    x = 26,970.82

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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.