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Finding the Fourth Proportional to 34,506.90, 51,749.37 and 14,780.16

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Solution

The fourth proportional to 34,506.90, 51,749.37 and 14,780.16 is: 22,165.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,506.90 : 51,749.37 = 14,780.16 : x
  2. Step 2: Convert to fraction form
    34,506.90/51,749.37 = 14,780.16/x
  3. Step 3: Cross multiply
    34,506.90x = 51,749.37 × 14,780.16
  4. Step 4: Simplify right side
    34,506.90x = 764,863,968.50
  5. Step 5: Solve for x
    x = 764,863,968.50/34,506.90
  6. Step 6: Final answer
    x = 22,165.54

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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.