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Finding the Fourth Proportional to 34,710.25, 52,059.09 and 9,744.16

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Solution

The fourth proportional to 34,710.25, 52,059.09 and 9,744.16 is: 14,614.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,710.25 : 52,059.09 = 9,744.16 : x
  2. Step 2: Convert to fraction form
    34,710.25/52,059.09 = 9,744.16/x
  3. Step 3: Cross multiply
    34,710.25x = 52,059.09 × 9,744.16
  4. Step 4: Simplify right side
    34,710.25x = 507,272,102.41
  5. Step 5: Solve for x
    x = 507,272,102.41/34,710.25
  6. Step 6: Final answer
    x = 14,614.48

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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.