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Finding the Fourth Proportional to 37,658.16, 56,406.78 and 19,832.58

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Solution

The fourth proportional to 37,658.16, 56,406.78 and 19,832.58 is: 29,706.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,658.16 : 56,406.78 = 19,832.58 : x
  2. Step 2: Convert to fraction form
    37,658.16/56,406.78 = 19,832.58/x
  3. Step 3: Cross multiply
    37,658.16x = 56,406.78 × 19,832.58
  4. Step 4: Simplify right side
    37,658.16x = 1,118,691,976.89
  5. Step 5: Solve for x
    x = 1,118,691,976.89/37,658.16
  6. Step 6: Final answer
    x = 29,706.50

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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.