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Finding the Fourth Proportional to 74,704.16, 112,041.84 and 34,167.44

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Solution

The fourth proportional to 74,704.16, 112,041.84 and 34,167.44 is: 51,244.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,704.16 : 112,041.84 = 34,167.44 : x
  2. Step 2: Convert to fraction form
    74,704.16/112,041.84 = 34,167.44/x
  3. Step 3: Cross multiply
    74,704.16x = 112,041.84 × 34,167.44
  4. Step 4: Simplify right side
    74,704.16x = 3,828,182,845.69
  5. Step 5: Solve for x
    x = 3,828,182,845.69/74,704.16
  6. Step 6: Final answer
    x = 51,244.57

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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.