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Finding the Fourth Proportional to 34,277.60, 51,416.40 and 32,965.40

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Solution

The fourth proportional to 34,277.60, 51,416.40 and 32,965.40 is: 49,448.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,277.60 : 51,416.40 = 32,965.40 : x
  2. Step 2: Convert to fraction form
    34,277.60/51,416.40 = 32,965.40/x
  3. Step 3: Cross multiply
    34,277.60x = 51,416.40 × 32,965.40
  4. Step 4: Simplify right side
    34,277.60x = 1,694,962,192.56
  5. Step 5: Solve for x
    x = 1,694,962,192.56/34,277.60
  6. Step 6: Final answer
    x = 49,448.10

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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.