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Finding the Fourth Proportional to 47,782.90, 71,683.41 and 15,763.90

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Solution

The fourth proportional to 47,782.90, 71,683.41 and 15,763.90 is: 23,648.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,782.90 : 71,683.41 = 15,763.90 : x
  2. Step 2: Convert to fraction form
    47,782.90/71,683.41 = 15,763.90/x
  3. Step 3: Cross multiply
    47,782.90x = 71,683.41 × 15,763.90
  4. Step 4: Simplify right side
    47,782.90x = 1,130,010,106.90
  5. Step 5: Solve for x
    x = 1,130,010,106.90/47,782.90
  6. Step 6: Final answer
    x = 23,648.84

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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.