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Finding the Fourth Proportional to 167,815.32, 251,684.53 and 47,870.00

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Solution

The fourth proportional to 167,815.32, 251,684.53 and 47,870.00 is: 71,794.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,815.32 : 251,684.53 = 47,870.00 : x
  2. Step 2: Convert to fraction form
    167,815.32/251,684.53 = 47,870.00/x
  3. Step 3: Cross multiply
    167,815.32x = 251,684.53 × 47,870.00
  4. Step 4: Simplify right side
    167,815.32x = 12,048,137,447.45
  5. Step 5: Solve for x
    x = 12,048,137,447.45/167,815.32
  6. Step 6: Final answer
    x = 71,794.03

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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.