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Finding the Fourth Proportional to 74,353.76, 111,548.19 and 24,434

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Solution

The fourth proportional to 74,353.76, 111,548.19 and 24,434 is: 36,656.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,353.76 : 111,548.19 = 24,434 : x
  2. Step 2: Convert to fraction form
    74,353.76/111,548.19 = 24,434/x
  3. Step 3: Cross multiply
    74,353.76x = 111,548.19 × 24,434
  4. Step 4: Simplify right side
    74,353.76x = 2,725,568,474.46
  5. Step 5: Solve for x
    x = 2,725,568,474.46/74,353.76
  6. Step 6: Final answer
    x = 36,656.77

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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.