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Finding the Fourth Proportional to 71,657.84, 107,506.20 and 24,914.36

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Solution

The fourth proportional to 71,657.84, 107,506.20 and 24,914.36 is: 37,378.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,657.84 : 107,506.20 = 24,914.36 : x
  2. Step 2: Convert to fraction form
    71,657.84/107,506.20 = 24,914.36/x
  3. Step 3: Cross multiply
    71,657.84x = 107,506.20 × 24,914.36
  4. Step 4: Simplify right side
    71,657.84x = 2,678,448,169.03
  5. Step 5: Solve for x
    x = 2,678,448,169.03/71,657.84
  6. Step 6: Final answer
    x = 37,378.30

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1.5x scale

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.