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Finding the Fourth Proportional to 74,171.50, 111,271.20 and 29,801.77

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Solution

The fourth proportional to 74,171.50, 111,271.20 and 29,801.77 is: 44,708.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,171.50 : 111,271.20 = 29,801.77 : x
  2. Step 2: Convert to fraction form
    74,171.50/111,271.20 = 29,801.77/x
  3. Step 3: Cross multiply
    74,171.50x = 111,271.20 × 29,801.77
  4. Step 4: Simplify right side
    74,171.50x = 3,316,078,710.02
  5. Step 5: Solve for x
    x = 3,316,078,710.02/74,171.50
  6. Step 6: Final answer
    x = 44,708.26

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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.