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Finding the Fourth Proportional to 34,354.50, 51,539.10 and 10,661.54

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Solution

The fourth proportional to 34,354.50, 51,539.10 and 10,661.54 is: 15,994.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,354.50 : 51,539.10 = 10,661.54 : x
  2. Step 2: Convert to fraction form
    34,354.50/51,539.10 = 10,661.54/x
  3. Step 3: Cross multiply
    34,354.50x = 51,539.10 × 10,661.54
  4. Step 4: Simplify right side
    34,354.50x = 549,485,918.52
  5. Step 5: Solve for x
    x = 549,485,918.52/34,354.50
  6. Step 6: Final answer
    x = 15,994.58

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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.