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Finding the Fourth Proportional to 85,329.74, 117,754.21 and 47,089.64

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Solution

The fourth proportional to 85,329.74, 117,754.21 and 47,089.64 is: 64,983.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,329.74 : 117,754.21 = 47,089.64 : x
  2. Step 2: Convert to fraction form
    85,329.74/117,754.21 = 47,089.64/x
  3. Step 3: Cross multiply
    85,329.74x = 117,754.21 × 47,089.64
  4. Step 4: Simplify right side
    85,329.74x = 5,545,003,357.38
  5. Step 5: Solve for x
    x = 5,545,003,357.38/85,329.74
  6. Step 6: Final answer
    x = 64,983.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.