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Finding the Fourth Proportional to 34,575, 51,850.94 and 13,509.58

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Solution

The fourth proportional to 34,575, 51,850.94 and 13,509.58 is: 20,259.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,575 : 51,850.94 = 13,509.58 : x
  2. Step 2: Convert to fraction form
    34,575/51,850.94 = 13,509.58/x
  3. Step 3: Cross multiply
    34,575x = 51,850.94 × 13,509.58
  4. Step 4: Simplify right side
    34,575x = 700,484,224.83
  5. Step 5: Solve for x
    x = 700,484,224.83/34,575
  6. Step 6: Final answer
    x = 20,259.85

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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.