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Finding the Fourth Proportional to 89,424, 134,139.24 and 27,094.50

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Solution

The fourth proportional to 89,424, 134,139.24 and 27,094.50 is: 40,642.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,424 : 134,139.24 = 27,094.50 : x
  2. Step 2: Convert to fraction form
    89,424/134,139.24 = 27,094.50/x
  3. Step 3: Cross multiply
    89,424x = 134,139.24 × 27,094.50
  4. Step 4: Simplify right side
    89,424x = 3,634,435,638.18
  5. Step 5: Solve for x
    x = 3,634,435,638.18/89,424
  6. Step 6: Final answer
    x = 40,642.73

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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.