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Finding the Fourth Proportional to 47,938.22, 71,907.50 and 14,658.16

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Solution

The fourth proportional to 47,938.22, 71,907.50 and 14,658.16 is: 21,987.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,938.22 : 71,907.50 = 14,658.16 : x
  2. Step 2: Convert to fraction form
    47,938.22/71,907.50 = 14,658.16/x
  3. Step 3: Cross multiply
    47,938.22x = 71,907.50 × 14,658.16
  4. Step 4: Simplify right side
    47,938.22x = 1,054,031,640.20
  5. Step 5: Solve for x
    x = 1,054,031,640.20/47,938.22
  6. Step 6: Final answer
    x = 21,987.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.