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Finding the Fourth Proportional to 19,781.64, 29,671.30 and 4,990.50

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Solution

The fourth proportional to 19,781.64, 29,671.30 and 4,990.50 is: 7,485.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,781.64 : 29,671.30 = 4,990.50 : x
  2. Step 2: Convert to fraction form
    19,781.64/29,671.30 = 4,990.50/x
  3. Step 3: Cross multiply
    19,781.64x = 29,671.30 × 4,990.50
  4. Step 4: Simplify right side
    19,781.64x = 148,074,622.65
  5. Step 5: Solve for x
    x = 148,074,622.65/19,781.64
  6. Step 6: Final answer
    x = 7,485.46

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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.