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Finding the Fourth Proportional to 77,209.40, 115,727.70 and 32,828.60

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Solution

The fourth proportional to 77,209.40, 115,727.70 and 32,828.60 is: 49,206.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,209.40 : 115,727.70 = 32,828.60 : x
  2. Step 2: Convert to fraction form
    77,209.40/115,727.70 = 32,828.60/x
  3. Step 3: Cross multiply
    77,209.40x = 115,727.70 × 32,828.60
  4. Step 4: Simplify right side
    77,209.40x = 3,799,178,372.22
  5. Step 5: Solve for x
    x = 3,799,178,372.22/77,209.40
  6. Step 6: Final answer
    x = 49,206.16

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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.