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Finding the Fourth Proportional to 31,844.61, 47,760.62 and 9,652.77

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Solution

The fourth proportional to 31,844.61, 47,760.62 and 9,652.77 is: 14,477.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,844.61 : 47,760.62 = 9,652.77 : x
  2. Step 2: Convert to fraction form
    31,844.61/47,760.62 = 9,652.77/x
  3. Step 3: Cross multiply
    31,844.61x = 47,760.62 × 9,652.77
  4. Step 4: Simplify right side
    31,844.61x = 461,022,231.65
  5. Step 5: Solve for x
    x = 461,022,231.65/31,844.61
  6. Step 6: Final answer
    x = 14,477.25

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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.