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Finding the Fourth Proportional to 101,715, 152,544.24 and 56,681

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Solution

The fourth proportional to 101,715, 152,544.24 and 56,681 is: 85,005.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,715 : 152,544.24 = 56,681 : x
  2. Step 2: Convert to fraction form
    101,715/152,544.24 = 56,681/x
  3. Step 3: Cross multiply
    101,715x = 152,544.24 × 56,681
  4. Step 4: Simplify right side
    101,715x = 8,646,360,067.44
  5. Step 5: Solve for x
    x = 8,646,360,067.44/101,715
  6. Step 6: Final answer
    x = 85,005.75

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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.